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Topic: [Snark] 299
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Juan de Mairena

Posts: 11
Registered: 3/15/09
[Snark] 299
Posted: May 3, 2016 11:22 AM
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\\
arXiv:1605.00218
Date: Sun, 1 May 2016 08:34:45 GMT (8kb)

Title: On the diamenter of Lascar strong types (after Ludomir Newelski)
Authors: Domenico Zambella
Categories: math.LO
Comments: A contribution to Liber Amicorum Alberti dedicated to Albert
Visser
on the occasion of his 65th birthday
MSC-class: 03C95
Journal-ref: Liber Amicorum Alberti, J.van Eijck, R.Iemhoff, J.J.Joosten
(editors) College Publications (2016)
\\
This is an exposition a theorem of mathematical logic which only assumes
the
notions of structure, elementary equivalence, and compactness (saturation).
Newelski proved that type-definable Lascar strong types have finite
diameter.
Our exposition is based on a proof that appears in Pelaez' thesis - up to a
minor difference: the notion of weak c-free is replaced with the notion of
non-drifting that is introduced here.
\\ ( https://arxiv.org/abs/1605.00218 , 8kb)
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arXiv:1605.00263
Date: Sun, 1 May 2016 15:11:04 GMT (9kb)

Title: Unprovability of circuit upper bounds in Cook's theory PV
Authors: Jan Krajicek and Igor C. Oliveira
Categories: math.LO cs.CC
MSC-class: 03F30, 68Q15
ACM-class: F.4.1
\\
We establish unconditionally that for every integer $k \geq 1$ there is a
language $L \in \mbox{P}$ such that it is consistent with Cook's theory PV
that
$L \notin Size(n^k)$. Our argument is non-constructive and does not provide
an
explicit description of this language.
\\ ( https://arxiv.org/abs/1605.00263 , 9kb)
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arXiv:1605.00296
Date: Sun, 1 May 2016 19:29:55 GMT (34kb)

Title: Chang's Conjecture and semiproperness of nonreasonable posets
Authors: Sean D. Cox
Categories: math.LO
\\
Let $\mathbb{Q}$ denote the poset which adds a Cohen real then shoots a
club
through the complement of $\big( [\omega_2]^\omega \big)^V$ with countable
conditions. We prove that the version of Strong Chang's Conjecture from
\cite{MR2965421} implies semiproperness of $\mathbb{Q}$, and that
semiproperness of $\mathbb{Q}$---in fact semiproperness of any poset which
is
sufficiently \emph{nonreasonable} in the sense of
Foreman-Magidor~\cite{MR1359154}---implies the version of Strong Chang's
Conjecture from \cite{MR2723878} and \cite{MR1261218}. In particular,
semiproperness of $\mathbb{Q}$ has large cardinal strength, which answers a
question of Friedman-Krueger~\cite{MR2276627}. One corollary of our work is
that the version of Strong Chang's Conjecture from \cite{MR2965421} does not
imply the existence of a precipitous ideal on $\omega_1$.
\\ ( https://arxiv.org/abs/1605.00296 , 34kb)
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arXiv:1605.00473
Date: Mon, 2 May 2016 13:19:57 GMT (30kb)

Title: Automorphism groups of randomized structures
Authors: Tom\'as Ibarluc\'ia
Categories: math.LO math.DS
Comments: 28 pages
\\
We study automorphism groups of randomizations of separable structures,
with
focus on the $\aleph_0$-categorical case. We give a description of the
automorphism group of the Borel randomization in terms of the group of the
original structure. In the $\aleph_0$-categorical context, this provides a
new
source of Roelcke precompact Polish groups, and we describe the associated
Roelcke compactifications. This allows us also to recover and generalize
preservation results of stable and NIP formulas previously established in
the
literature, via a Banach-theoretic translation. Finally, we study the
separable
models of the theory of beautiful pairs of randomizations, and we show that
this theory is in general not $\aleph_0$-categorical.
\\ ( https://arxiv.org/abs/1605.00473 , 30kb)
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\
arXiv:1605.00605
Date: Mon, 2 May 2016 18:27:53 GMT (28kb)

Title: Universal graphs at $\aleph_{\omega_1+1}$
Authors: Jacob Davis
Categories: math.LO
MSC-class: 03E35, 03E55, 03E75
\\
Starting from a supercompact cardinal we build a model in which
$2^{\aleph_{\omega_1}}=2^{\aleph_{\omega_1+1}}=\aleph_{\omega_1+3}$ but
there
is a jointly universal family of size $\aleph_{\omega_1+2}$ of graphs on
$\aleph_{\omega_1+1}$. The same technique will work for any uncountable
cardinal in place of $\omega_1$.
\\ ( https://arxiv.org/abs/1605.00605 , 28kb)
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arXiv:1605.00613
Date: Mon, 2 May 2016 18:44:20 GMT (18kb)

Title: The HOD Dichotomy
Authors: Hugh Woodin, Jacob Davis, Daniel Rodriguez
Categories: math.LO
MSC-class: 03E45, 03E55, 03E57
\\
This paper provides an accessible introduction to some of the work of
Woodin
on suitable extender models. We define the HOD conjecture, prove it is
equivalent to a formulation in terms of weak extender models for
supercompactness, and give some of its consequences.
\\ ( https://arxiv.org/abs/1605.00613 , 18kb)
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arXiv:1605.00641
Date: Mon, 2 May 2016 19:58:16 GMT (13kb)

Title: The isometry degree of a computable copy of $\ell^p$
Authors: Timothy H. McNicholl and D.M. Stull
Categories: math.LO
MSC-class: 03D78, 03D45
\\
When $p$ is a computable real so that $p \geq 1$, the isometry degree of a
computable copy $\mathcal{B}$ of $\ell^p$ is defined to be the least
powerful
Turing degree that computes a linear isometry of $\ell^p$ onto
$\mathcal{B}$.
We show that this degree always exists and that when $p \neq 2$ these
degrees
are precisely the c.e. degrees.
\\ ( https://arxiv.org/abs/1605.00641 , 13kb)
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arXiv:1605.00443
Date: Mon, 2 May 2016 11:47:31 GMT (51kb,D)

Title: On densities of lattice arrangements intersecting every i-dimensional
affine subspace
Authors: Bernardo Gonz\'alez Merino, Matthias Henze
Categories: math.MG math.CO
Comments: 19 pages
\\
In 1978, Makai Jr. established a remarkable connection between the
volume-product of a convex body, its maximal lattice packing density and the
minimal density of a lattice arrangement of its polar body intersecting
every
affine hyperplane. Consequently, he formulated a conjecture that can be
seen as
a dual analog of Minkowski's fundamental theorem, and which is strongly
linked
to the well-known Mahler-conjecture.
Based on the covering minima of Kannan & Lov\'asz and a problem posed by
Fejes T\'oth, we arrange Makai Jr.'s conjecture into a wider context and
investigate densities of lattice arrangements of convex bodies intersecting
every i-dimensional affine subspace. Then it becomes natural also to
formulate
and study a dual analog to Minkowski's second fundamental theorem. As our
main
results, we derive meaningful asymptotic lower bounds for the densities of
such
arrangements, and furthermore, we solve the problems exactly for the
special,
yet important, class of unconditional convex bodies.
\\ ( https://arxiv.org/abs/1605.00443 , 51kb)
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arXiv:1605.00196
Date: Sun, 1 May 2016 01:58:47 GMT (20kb)

Title: Embedded Eigenvalues and Neumann-Wigner Potentials for Relativistic
Schrodinger Operators
Authors: Jozsef Lorinczi, Itaru Sasaki
Categories: math-ph math.MP
MSC-class: 62M15
\\
We construct Neumann-Wigner type potentials for the massive relativistic
Schrodinger operator in one and three dimensions for which an eigenvalue
embedded in the absolutely continuous spectrum exists. First we consider the
relativistic variants of the original example by von Neumann and Wigner,
and as
a second example we discuss the potential due to Moses and Tuan. We show
that
in the non-relativistic limit these potentials converge to the classical
Neumann-Wigner potentials. For the massless operator in one dimension we
construct two families of potentials, different by the parities of the
(generalized) eigenfunctions, for which an eigenvalue equal to zero or a
0-resonance exists, dependent on the rate of decay of the corresponding
eigenfunctions.
\\ ( https://arxiv.org/abs/1605.00196 , 20kb)
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arXiv:1605.00237
Date: Thu, 28 Apr 2016 17:52:06 GMT (13kb)

Title: Stora's fine notion of divergent amplitudes
Authors: Joseph C. V\'arilly and Jos\'e M. Gracia-Bond\'ia
Categories: math-ph hep-th math.FA math.MP
Comments: 10 pages, no figures. Contribution to Mathematical Foundations of
Quantum Field Theory, special issue in memory of Raymond Stora, Nucl.
Phys. B
\\
Stora and coworkers refined the notion of divergent quantum amplitude,
somewhat upsetting the standard power-counting recipe. This unexpectedly
clears
the way to new prototypes for free and interacting field theories of bosons
of
any mass and spin.
\\ ( https://arxiv.org/abs/1605.00237 , 13kb)
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arXiv:1605.00325
Date: Mon, 2 May 2016 00:03:16 GMT (21kb)

Title: Einstein-Hilbert action with cosmological term from Chern-Simons
gravity
Authors: N.L. Gonz\'alez Albornoz, P. Salgado, G. Rubio, S. Salgado
Categories: math-ph math.MP
Comments: 31 pages, no figures
DOI: 10.1016/j.geomphys.2014.08.013
\\
We propose a modification to the Lie algebra $S$-expansion method. The
modification is carried out by imposing a condition on the $S$-expansion
procedure, when the semigroup is given by a cyclic group of even order. The
$S$-expanded algebras are called $S_{H}$-expanded algebras where $S=Z_{2n}$.
The invariant tensors for $S_{H}$-expanded algebras are calculated and the
dual
formulation of $S_{H}$-expansion procedure is proposed. We consider the
$S_{H}$-expansion of the five-dimensional $AdS$ algebra and its
corresponding
invariants tensors are found. Then a Chern-Simons Lagrangian invariant under
the five-dimensional $AdS$ algebra $S_{H}$-expanded is constructed and its
relationship to the general relativity is studied.
\\ ( https://arxiv.org/abs/1605.00325 , 21kb)
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arXiv:1605.00447
Date: Mon, 2 May 2016 11:58:07 GMT (467kb)

Title: Trace identities for skew-symmetric matrices
Authors: M. I. Krivoruchenko
Categories: math-ph math.MP
Comments: 9 pages
\\
We derive an expression for the product of the Pfaffians of skew-symmetric
matrices A and B as a finite sum of the traces of powers of AB and an
expression for the inverse matrix A$^{-1}$, or equivalently B$^{-1}$ as a
finite-order polynomial of AB with the coefficients depending on the traces
of
powers of AB.
\\ ( https://arxiv.org/abs/1605.00447 , 467kb)
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\\
arXiv:1605.00531
Date: Mon, 2 May 2016 15:36:44 GMT (1508kb,D)

Title: Random Antagonistic Matrices
Authors: Giovanni M. Cicuta and Luca Guido Molinari
Categories: math-ph cond-mat.stat-mech math.MP q-bio.PE
Comments: 14 pages, 6 figures
\\
The ensemble of antagonistic matrices is introduced and studied. In
antagonistic matrices the entries $\mathcal A_{i,j}$ and $\mathcal A_{j,i}$
are
real and have opposite signs, or are both zero, and the diagonal is zero.
This
generalization of antisymmetric matrices is suggested by the linearized
dynamics of competitive species in ecology.
\\ ( https://arxiv.org/abs/1605.00531 , 1508kb)
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\\
arXiv:1605.00576
Date: Mon, 2 May 2016 17:34:47 GMT (33kb,D)

Title: Nonlinear heat conduction equations with memory: physical meaning and
analytical results
Authors: Pietro Artale Harris and Roberto Garra
Categories: math-ph math.MP
\\
We study nonlinear heat conduction equations with memory effects within
the
framework of the fractional calculus approach to the generalized
Maxwell-Cattaneo law. Our main aim is to derive the governing equations of
heat
propagation, considering both the empirical temperature-dependence of the
thermal conductivity coefficient (which introduces nonlinearity) and memory
effects, according to the general theory of Gurtin and Pipkin of finite
velocity thermal propagation with memory. In this framework, we consider in
detail two different approaches to the generalized Maxwell-Cattaneo law,
based
on the application of long-tail Mittag-Leffler memory function and power law
relaxation functions, leading to nonlinear time-fractional telegraph and
wave-type equations. We also discuss some explicit analytical results to the
model equations based on the generalized separating variable method and
discuss
their meaning in relation to some well-known results of the ordinary case.
\\ ( https://arxiv.org/abs/1605.00576 , 33kb)
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\\
arXiv:1605.00623
Date: Mon, 2 May 2016 19:07:32 GMT (3846kb,D)

Title: Real eigenvalues of non-symmetric random matrices: Transitions and
Universality
Authors: Luis Carlos Garc\'ia del Molino, Khashayar Pakdaman and Jonathan
Touboul
Categories: math-ph math.MP
Comments: 10 pages, 12 figures
\\
In the past 20 years, the study of real eigenvalues of non-symmetric real
random matrices has seen important progress. Notwithstanding, central
questions
still remain open, such as the characterization of their asymptotic
statistics
and the universality thereof. In this letter we show that for a wide class
of
matrices, the number $k_n$ of real eigenvalues of a matrix of size $n$ is
asymptotically Gaussian with mean $\bar k_n=\mathcal{O}(\sqrt{n})$ and
variance
$\bar k_n(2-\sqrt{2})$. Moreover, we show that the limit distribution of
real
eigenvalues undergoes a transition between bimodal for $k_n=o(\sqrt{n})$ to
unimodal for $k_n=\mathcal{O}(n)$, with a uniform distribution at the
transition. We predict theoretically these behaviours in the Ginibre
ensemble
using a log-gas approach, and show numerically that they hold for a wide
range
of random matrices with independent entries beyond the universality class of
the circular law.
\\ ( https://arxiv.org/abs/1605.00623 , 3846kb)
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\\
arXiv:1605.00132
Date: Sat, 30 Apr 2016 16:14:33 GMT (40kb)

Title: A systematic construction of finite element commuting exact sequences
Authors: Bernardo Cockburn, Guosheng Fu
Categories: math.NA
Comments: 37pages
\\
We present a systematic construction of finite element exact sequences
with a
commuting diagram for the de Rham complex in one-, two- and three-space
dimensions. We apply the construction in two-space dimensions to rediscover
two
families of exact sequences for triangles and three for squares, and to
uncover
one new family of exact sequence for squares and two new families of exact
sequences for general polygonal elements. We apply the construction in
three-space dimensions to rediscover two families of exact sequences for
tetrahedra, three for cubes, and one for prisms; and to uncover four new
families of exact sequences for pyramids, three for prisms, and one for
cubes.
\\ ( https://arxiv.org/abs/1605.00132 , 40kb)
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\\
arXiv:1605.00133
Date: Sat, 30 Apr 2016 16:20:30 GMT (6853kb,D)

Title: Accelerated High-Resolution Photoacoustic Tomography via Compressed
Sensing
Authors: Simon Arridge, Paul Beard, Marta Betcke, Ben Cox, Nam Huynh, Felix
Lucka, Olumide Ogunlade and Edward Zhang
Categories: math.NA
Comments: submitted to "Physics in Medicine and Biology"
\\
Current 3D photoacoustic tomography (PAT) systems offer either high image
quality or high frame rates but are not able to deliver high spatial and
temporal resolution simultaneously, which limits their ability to image
dynamic
processes in living tissue. A particular example is the planar Fabry-Perot
(FP)
scanner, which yields high-resolution images but takes several minutes to
sequentially map the photoacoustic field on the sensor plane,
point-by-point.
However, as the spatio-temporal complexity of many absorbing tissue
structures
is rather low, the data recorded in such a conventional, regularly sampled
fashion is often highly redundant. We demonstrate that combining variational
image reconstruction methods using spatial sparsity constraints with the
development of novel PAT acquisition systems capable of sub-sampling the
acoustic wave field can dramatically increase the acquisition speed while
maintaining a good spatial resolution: First, we describe and model two
general
spatial sub-sampling schemes. Then, we discuss how to implement them using
the
FP scanner and demonstrate the potential of these novel compressed sensing
PAT
devices through simulated data from a realistic numerical phantom and
through
measured data from a dynamic experimental phantom as well as from in-vivo
experiments. Our results show that images with good spatial resolution and
contrast can be obtained from highly sub-sampled PAT data if variational
image
reconstruction methods that describe the tissues structures with suitable
sparsity-constraints are used. In particular, we examine the use of total
variation regularization enhanced by Bregman iterations. These novel
reconstruction strategies offer new opportunities to dramatically increase
the
acquisition speed of PAT scanners that employ point-by-point sequential
scanning as well as reducing the channel count of parallelized schemes that
use
detector arrays.
\\ ( https://arxiv.org/abs/1605.00133 , 6853kb)
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\\
arXiv:1605.00156
Date: Sat, 30 Apr 2016 19:54:27 GMT (464kb,D)

Title: Robust Solvers for Maxwell's Equations with Dissipative Boundary
Conditions
Authors: James H. Adler and Xiaozhe Hu and Ludmil T. Zikatanov
Categories: math.NA
Comments: 18 pages, 2 figures
\\
In this paper, we design robust and efficient linear solvers for the
numerical approximation of solutions to Maxwell's equations with dissipative
boundary conditions. We consider a structure-preserving finite-element
approximation with standard Nedelec--Raviart--Thomas elements in space and a
Crank--Nicolson scheme in time to approximate the electric and magnetic
fields.
We focus on two types of block preconditioners. The first type is based on
the well-posedness results of the discrete problem. The second uses an exact
block factorization of the linear system, for which the structure-preserving
discretization yields sparse Schur complements. We prove robustness and
optimality of these block preconditioners, and provide supporting numerical
tests.
\\ ( https://arxiv.org/abs/1605.00156 , 464kb)
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\\
arXiv:1605.00429
Date: Mon, 2 May 2016 10:50:40 GMT (341kb,D)

Title: Adaptive splitting methods for nonlinear Schr\"{o}dinger equations in
the semiclassical regime
Authors: Winfried Auzinger, Thomas Kassebacher, Othmar Koch, and Mechthild
Thalhammer
Categories: math.NA
\\
The error behavior of exponential operator splitting methods for nonlinear
Schr{\"o}dinger equations in the semiclassical regime is studied. For the
Lie
and Strang splitting methods, the exact form of the local error is
determined
and the dependence on the semiclassical parameter is identified. This is
enabled within a defect-based framework which also suggests asymptotically
correct a~posteriori local error estimators as the basis for adaptive time
stepsize selection. Numerical examples substantiate and complement the
theoretical investigations.
\\ ( https://arxiv.org/abs/1605.00429 , 341kb)
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\\
arXiv:1605.00437
Date: Mon, 2 May 2016 11:22:38 GMT (219kb,D)

Title: Convergence of a Strang splitting finite element discretization for
the
Schr\"odinger-Poisson equation
Authors: Winfried Auzinger, Thomas Kassebacher, Othmar Koch, Mechthild
Thalhammer
Categories: math.NA
\\
Operator splitting methods combined with finite element spatial
discretizations are studied for time-dependent nonlinear Schr\"odinger
equations. In particular, the Schr\"odinger-Poisson equation under
homogeneous
Dirichlet boundary conditions on a finite domain is considered. A rigorous
stability and error analysis is carried out for the second-order Strang
splitting method and conforming polynomial finite element discretizations.
For
sufficiently regular solutions the classical orders of convergence are
retained, that is, second-order convergence in time and polynomial
convergence
in space is proven. The established convergence result is confirmed and
complemented by numerical illustrations.
\\ ( https://arxiv.org/abs/1605.00437 , 219kb)
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\\
arXiv:1605.00445
Date: Mon, 2 May 2016 11:54:12 GMT (21kb)

Title: Setup of Order Conditions for Splitting Methods
Authors: Winfried Auzinger, Wolfgang Herfort, Harald Hofst\"atter and Othmar
Koch
Categories: math.NA
\\
This article is based on earlier papers where an approach based on Taylor
expansion and the structure of its leading term as an element of a free Lie
algebra was described for the setup of a system of order conditions for
operator splitting methods. Along with a brief review of these materials and
some theoretical background, we discuss the implementation of the ideas from
these papers in computer algebra, in particular using Maple 18. A parallel
version of such a code is described.
\\ ( https://arxiv.org/abs/1605.00445 , 21kb)
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\\
arXiv:1605.00453
Date: Mon, 2 May 2016 12:14:08 GMT (28kb,D)

Title: Symbolic Manipulation of Flows of Nonlinear Evolution Equations, with
Application in the Analysis of Split-Step Time Integrators
Authors: Winfried Auzinger, Harald Hofstaetter, Othmar Koch
Categories: math.NA
\\
We describe a package realized in the Julia programming language which
performs symbolic manipulations applied to nonlinear evolution equations,
their
flows, and commutators of such objects. This tool was employed to perform
contrived computations arising in the analysis of the local error of
operator
splitting methods. It enabled the proof of the convergence of the basic
method
and of the asymptotical correctness of a defect-based error estimator. The
performance of our package is illustrated on several examples.
\\ ( https://arxiv.org/abs/1605.00453 , 28kb)
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\\
arXiv:1605.00506
Date: Mon, 2 May 2016 14:37:44 GMT (75kb,D)

Title: On rational functions without Froissart doublets
Authors: Bernhard Beckermann, George Labahn and Ana C. Matos
Categories: math.NA
Comments: 18 pages, 1 figure
MSC-class: 41A21, 65F22
\\
In this paper we consider the problem of working with rational functions
in a
numeric environment. A particular problem when modeling with such functions
is
the existence of Froissart doublets, where a zero is close to a pole. We
discuss three different parameters which allow one to monitor the absence of
Froissart doublets for a given general rational function. These include the
euclidean condition number of an underlying Sylvester-type matrix, a
parameter
for determing coprimeness of two numerical polynomials and bounds on the
spherical derivative. We show that our parameters sharpen those found in a
previous paper by two of the autours.
\\ ( https://arxiv.org/abs/1605.00506 , 75kb)
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\\
arXiv:1605.00551
Date: Mon, 2 May 2016 16:33:58 GMT (469kb,D)

Title: Compatible finite element spaces for geophysical fluid dynamics
Authors: Andrea Natale and Colin J. Cotter
Categories: math.NA physics.ao-ph
\\
Compatible finite elements provide a framework for preserving important
structures in equations of geophysical fluid dynamics, and are becoming
important in their use for building atmosphere and ocean models. We survey
the
application of compatible finite element spaces to geophysical fluid
dynamics,
including the application to the nonlinear rotating shallow water equations,
and the three-dimensional compressible Euler equations. We summarise
analytic
results about dispersion relations and conservation properties, and present
new
results on approximation properties in three dimensions on the sphere, and
on
hydrostatic balance properties.
\\ ( https://arxiv.org/abs/1605.00551 , 469kb)
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\\
arXiv:1605.00568
Date: Mon, 2 May 2016 17:03:13 GMT (3861kb,D)

Title: A Lagrangian scheme for the incompressible Euler equation using
optimal
transport
Authors: Thomas Gallou\"et, Quentin M\'erigot
Categories: math.NA math-ph math.AP math.MP
Comments: 21p
MSC-class: 35Q31, 65M12, 65M50, 65Z05
\\
We approximate the regular solutions of the incompressible Euler equation
by
the solution of ODEs on finite-dimensional spaces. Our approach combines
Arnold's interpretation of the solution of Euler's equation for
incompressible
and inviscid fluids as geodesics in the space of measure-preserving
diffeomorphisms, and an extrinsic approximation of the equations of
geodesics
due to Brenier. Using recently developed semi-discrete optimal transport
solvers, this approach yields numerical scheme able to handle problems of
realistic size in 2D. Our purpose in this article is to establish the
convergence of these scheme towards regular solutions of the incompressible
Euler equation, and to provide numerical experiments on a few simple
testcases
in 2D.
\\ ( https://arxiv.org/abs/1605.00568 , 3861kb)
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\\
arXiv:1605.00588
Date: Mon, 2 May 2016 18:08:04 GMT (54kb,D)

Title: Discretising the Herman--Kluk Propagator
Authors: Caroline Lasser and David Sattlegger
Categories: math.NA
MSC-class: 81Q20, 65D30, 65Z05, 65P10
\\
The Herman--Kluk propagator is a popular semi-classical approximation of
the
unitary evolution operator in quantum molecular dynamics. In this paper we
formulate the Herman--Kluk propagator as a phase space integral and
discretise
it by Monte Carlo and quasi-Monte Carlo quadrature. Then, we investigate the
accuracy of a symplectic time discretisation by combining backward error
analysis with Fourier integral operator calculus. Numerical experiments for
two- and six-dimensional model systems support our theoretical results.
\\ ( https://arxiv.org/abs/1605.00588 , 54kb)
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\\
arXiv:1605.00072
Date: Sat, 30 Apr 2016 07:49:33 GMT (9kb)

Title: Short interval results for a class of arithmetic functions
Authors: Olivier Bordell\`es
Categories: math.NT
Comments: 13 pages
MSC-class: 11A25, 11N37, 11L07
\\
Using estimates on Hooley's $\Delta$-function and a short interval
version of
the celebrated Dirichlet hyperbola principle, we derive an asymptotic
formula
for a class of arithmetic functions over short segments. Numerous examples
are
also given.
\\ ( https://arxiv.org/abs/1605.00072 , 9kb)
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\\
arXiv:1605.00088
Date: Sat, 30 Apr 2016 10:13:38 GMT (11kb)

Title: Density of solutions to quadratic congruences
Authors: Neha Prabhu
Categories: math.NT
MSC-class: 11D45, 11B25, 11N37
\\
A classical result in number theory is Dirichlet's theorem on the density
of
primes in an arithmetic progression. We prove a similar result for numbers
with
exactly k prime factors for k>1. Building upon a proof by E.M. Wright in
1954,
we compute the natural density of such numbers where each prime satisfies a
congruence condition. As an application, we obtain the density of
squarefree n
not greater than x with k prime factors such that a fixed quadratic equation
has exactly 2^k solutions modulo n.
\\ ( https://arxiv.org/abs/1605.00088 , 11kb)
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\\
arXiv:1605.00131
Date: Sat, 30 Apr 2016 16:13:09 GMT (241kb,D)

Title: Some experiments on the growth of Mertens matrices
Authors: Jean-Paul Cardinal
Categories: math.NT
Comments: 7 pages, 3 figures
\\
We give some experimental observations on the growth of the norm of
certain
matrices related to the Mertens function. The results obtained in these
experiments convince us that linear algebra may help in the study of Mertens
function and other arithmetic functions.
\\ ( https://arxiv.org/abs/1605.00131 , 241kb)
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\\
arXiv:1605.00351
Date: Mon, 2 May 2016 04:39:47 GMT (15kb)

Title: Irreducible polynomials with prescribed sums of coefficients
Authors: Aleksandr Tuxanidy and Qiang Wang
Categories: math.NT
Comments: arXiv admin note: text overlap with arXiv:1604.04023
\\
Let $q$ be a power of a prime, let $\mathbb{F}_q$ be the finite field with
$q$ elements and let $n \geq 2$. For a polynomial $h(x) \in
\mathbb{F}_q[x]$ of
degree $n \in \mathbb{N}$ and a subset $W \subseteq [0,n] := \{0, 1, \ldots,
n\}$, we define the sum-of-digits function $$S_W(h) = \sum_{w \in W}[x^{w}]
h(x)$$ to be the sum of all the coefficients of $x^w$ in $h(x)$ with $w \in
W$.
In the case when $q = 2$, we prove, except for a few genuine exceptions,
that
for any $c \in \mathbb{F}_2$ and any $W \subseteq [0,n]$ there exists an
irreducible polynomial $P(x)$ of degree $n$ over $\mathbb{F}_2$ such that
$S_{W}(P) = c$. In particular, restricting ourselves to the case when $\# W
=
1$, we obtain a new proof of the Hansen-Mullen irreducibility conjecture
(now a
theorem) in the case when $q = 2$. In the case of $q> 2$, we prove that, for
any $c \in \mathbb{F}_q$, any $n\geq 2$ and any $W \subseteq [0,n]$, there
exists an irreducible polynomial $P(x)$ of degree $n$ such that $S_{W}(P)
\neq
c$.
\\ ( https://arxiv.org/abs/1605.00351 , 15kb)
------------------------------------------------------------------------------
\\
arXiv:1605.00375
Date: Mon, 2 May 2016 07:36:39 GMT (25kb)

Title: Cuspidal divisor class groups of non-split Cartan modular curves
Authors: Pierfrancesco Carlucci
Categories: math.NT
Comments: 35 pages
\\
I find an explicit description of modular units in terms of Siegel
functions
for the modular curves $X^+_{ns}(p^k)$ associated to the normalizer of a
non-split Cartan subgroup of level $p^k$ where $p\not=2,3$ is a prime. The
Cuspidal Divisor Class Group $\mathfrak{C}^+_{ns}(p^k)$ on $X^+_{ns}(p^k)$
is
explicitly described as a module over the group ring $R =
\mathbb{Z}[(\mathbb{Z}/p^k\mathbb{Z})^*/\{\pm 1\}]$. In this paper I give a
formula involving generalized Bernoulli numbers $B_{2,\chi}$ for
$|\mathfrak{C}^+_{ns}(p^k)|$.
\\ ( https://arxiv.org/abs/1605.00375 , 25kb)
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\\
arXiv:1605.00378
Date: Mon, 2 May 2016 07:47:12 GMT (16kb)

Title: Metrical star discrepancy bounds for lacunary subsequences of digital
Kronecker-sequences and polynomial tractability
Authors: Mario Neum\"uller and Friedrich Pillichshammer
Categories: math.NT
MSC-class: 11K38, 11K31, 11K45
\\
The star discrepancy $D_N^*(\mathcal{P})$ is a quantitative measure for
the
irregularity of distribution of a finite point set $\mathcal{P}$ in the
multi-dimensional unit cube which is intimately related to the integration
error of quasi-Monte Carlo algorithms. It is known that for every integer $N
\ge 2$ there are point sets $\mathcal{P}$ in $[0,1)^d$ with
$|\mathcal{P}|=N$
and $D_N^*(\mathcal{P}) =O((\log N)^{d-1}/N)$. However, for small $N$
compared
to the dimension $d$ this asymptotically excellent bound is useless (e.g.
for
$N \le {\rm e}^{d-1}$).
In 2001 it has been shown by Heinrich, Novak, Wasilkowski and
Wo\'{z}niakowski that for every integer $N \ge 2$ there exist point sets
$\mathcal{P}$ in $[0,1)^d$ with $|\mathcal{P}|=N$ and $D_N^*(\mathcal{P})
\le C
\sqrt{d/N}$. Although not optimal in an asymptotic sense in $N$, this upper
bound has a much better (and even optimal) dependence on the dimension $d$.
Unfortunately the result by Heinrich et al. and also later variants
thereof
by other authors are pure existence results and until now no explicit
construction of point sets with the above properties are known. Quite
recently
L\"obbe studied lacunary subsequences of Kronecker's $(n
\boldsymbol{\alpha})$-sequence and showed a metrical discrepancy bound of
the
form $C \sqrt{d (\log d)/N}$ with implied absolute constant $C>0$
independent
of $N$ and $d$.
In this paper we show a corresponding result for digital Kronecker
sequences,
which are a non-archimedean analog of classical Kronecker sequences.
\\ ( https://arxiv.org/abs/1605.00378 , 16kb)
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\\
arXiv:1605.00487
Date: Mon, 2 May 2016 13:55:02 GMT (36kb)

Title: Curtis homomorphisms and the integral Bernstein center for GL_n
Authors: David Helm
Categories: math.NT
Comments: 35 pages
MSC-class: 11F33, 11F70, 11F80
\\
We describe two conjectures, one strictly stronger than the other, that
give
descriptions of the integral Bernstein center for GL_n(F) (that is, the
center
of the category of smooth W(k)[GL_n(F)]-modules, for F a p-adic field and k
an
algebraically closed field of characteristic l different from p) in terms of
Galois theory. Moreover, we show that the weak version of the conjecture
(for m
at most n) implies the strong version of the conjecture. In a companion
paper
[HM] we show that the strong conjecture for n-1 implies the weak conjecture
for
n; thus the two papers together give an inductive proof of both conjectures.
The upshot is a description of the integral Bernstein center for GL_n in
purely
Galois- theoretic terms; previous work of the author shows that such a
description implies the conjectural "local Langlands correspondence in
families" of Emerton and the author.
\\ ( https://arxiv.org/abs/1605.00487 , 36kb)
------------------------------------------------------------------------------
\\
arXiv:1605.00501
Date: Mon, 2 May 2016 14:26:57 GMT (6kb)

Title: Fermat's Last Theorem: Algebra and Number Theory
Authors: Felix Sidokhine
Categories: math.NT
\\
In our work we give the examples using Fermat's Last Theorem for solving
some
problems from algebra and number theory.
\\ ( https://arxiv.org/abs/1605.00501 , 6kb)
------------------------------------------------------------------------------
\\
arXiv:1605.00511
Date: Mon, 2 May 2016 14:51:42 GMT (49kb)

Title: Geometric approach to the explicit local Langlands correspondence
Authors: Yoichi Mieda
Categories: math.NT math.AG math.RT
Comments: 55 pages
MSC-class: 11F70, 11F80, 11G25, 22E50
\\
We propose a geometric strategy of giving explicit description of the
Langlands parameter of an irreducible supercuspidal representation of GL(n)
over a non-archimedean local field. The key is to compare the cohomology of
an
affinoid in the Lubin-Tate space at infinite level and that of the
reduction of
its formal model. As examples, we treat the cases of depth 0 supercuspidal
representations and simple supercuspidal representations.
\\ ( https://arxiv.org/abs/1605.00511 , 49kb)
------------------------------------------------------------------------------
\\
arXiv:1605.00615
Date: Mon, 2 May 2016 18:56:41 GMT (22kb)

Title: Lubin-Tate Deformation Spaces and $(\phi,\Gamma)$-Modules
Authors: Annie Carter
Categories: math.NT
\\
Jean-Marc Fontaine has shown that there exists an equivalence of
categories
between the category of continuous $\mathbb{Z}_p$-representations of a given
Galois group and the category of \'{e}tale $(\phi,\Gamma)$-modules over a
certain ring. This work attempts to answer the question of whether there
exists
a theory of $(\phi,\Gamma)$-modules for the Lubin-Tate tower. We construct
this
tower via the rings $R_n$ which parametrize deformations of level $n$ of a
given formal module. One can choose prime elements $\pi_n$ in each ring
$R_n$
in a compatible way, and consider the tower of fields $(K'_n)_n$ obtained by
localizing at $\pi_n$, completing, and passing to fraction fields. By taking
the compositum $K_n = K_0 K'_n$ of each field with a certain unramified
extension $K_0$ of the base field $K'_0$ one obtains a tower of fields
$(K_n)_n$ which is strictly deeply ramified in the sense of Anthony Scholl.
This is a first step towards showing that there exists a theory of
$(\phi,\Gamma)$-modules for this tower.
\\ ( https://arxiv.org/abs/1605.00615 , 22kb)
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\\
arXiv:1605.00038
Date: Fri, 29 Apr 2016 22:53:47 GMT (18kb)

Title: Anticommutation in the Presentations of Theta-Deformed Spheres
Authors: Benjamin Passer
Categories: math.OA math.AT
Comments: 14 pages
MSC-class: 46L85
\\
We consider an analogue of the theta-deformed even spheres, modifying the
relations demanded of the self-adjoint generator x in the usual
presentation.
In this analogue, x is given anticommutation relations with all of the other
generators, as opposed to being central. Using even K-theory, we show that
noncommutative Borsuk-Ulam theorems hold for these algebras.
\\ ( https://arxiv.org/abs/1605.00038 , 18kb)
------------------------------------------------------------------------------
\\
arXiv:1605.00226
Date: Sun, 1 May 2016 09:47:56 GMT (8kb)

Title: Two minimal unique ergodic diffeomorphisms on a manifolds and their
smooth crossed product algebras
Authors: Hongzhi Liu
Categories: math.OA
\\
In this article we construct two minimal unique ergodic diffeomorphisms
$\alpha$ and $\beta$ on $S^3 \times S^{6} \times S^{8} $. We will show that
$C(S^3 \times S^{6} \times S^{8}) \rtimes_\alpha \mathbb{Z} $ and $C(S^3
\times
S^{6} \times S^{8})\rtimes_\beta \mathbb{Z} $ are equivalent to each other,
while $C^\infty (S^3 \times S^{6} \times S^{8})\rtimes_\alpha \mathbb{Z} $
and
$C^\infty(S^3 \times S^{6} \times S^{8} )\rtimes_\beta \mathbb{Z} $ are not.
\\ ( https://arxiv.org/abs/1605.00226 , 8kb)
------------------------------------------------------------------------------
\\
arXiv:1605.00288
Date: Sun, 1 May 2016 18:26:31 GMT (22kb)

Title: $*$-freeness in Finite Tensor Products
Authors: Benoit Collins, Pierre Yves Gaudreau Lamarre
Categories: math.OA math.GR
\\
In this paper, we consider the following question and variants thereof:
given
$\mathbf D:=\big(a_{1;i}\otimes\cdots\otimes a_{K;i}:i\in I\big)$, a
collection
of elementary tensor non-commutative random variables in the tensor product
of
probability spaces $(\mathcal A_1\otimes\cdots\otimes\mathcal
A_K,\phi_1\otimes\cdots\otimes\phi_K)$, when is $\mathbf D$ $*$-free? (See
Section 1.2 for a precise formulation of this problem.)
Settling whether or not freeness occurs in tensor products is a recurring
problem in operator algebras, and the following two examples provide a
natural
motivation for the above question:
(A) If $(a_{1;i}:i\in I)$ is a $*$-free family of Haar unitary variables
and
$a_{k,i}$ are arbitrary unitary variables for $k\geq2$, then the
$*$-freeness
persists at the level of the tensor product $\mathbf D$.
(B) A converse of (A) holds true if all variables $a_{k;i}$ are group-like
elements (see Corollary 1.7 of Proposition 1.6).
It is therefore natural to seek to understand the extent to which such
simple
characterizations hold true in more general cases. While our results fall
short
of a complete characterization, we make notable steps toward identifying
necessary and sufficient conditions for the freeness of $\mathbf D$. For
example, we show that under evident assumptions, if more than one family
$(a_{k,i}:i\in I)$ contains non-unitary variables, then the tensor family
fails
to be $*$-free (see Theorem 1.8 (1)).
\\ ( https://arxiv.org/abs/1605.00288 , 22kb)
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\\
arXiv:1605.00315
Date: Sun, 1 May 2016 22:34:12 GMT (35kb)

Title: Universal Preparability of States and Asymptotic Completeness
Authors: Rolf Gohm, Florian Haag, Burkhard K\"ummerer
Categories: math.OA quant-ph
Comments: 34 pages
MSC-class: 46L50, 46L51, 46L55, 54H20
\\
We introduce a notion of universal preparability for a state of a system,
more precisely: for a normal state on a von Neumann algebra. It describes a
situation where from an arbitrary initial state it is possible to prepare a
target state with arbitrary precision by a repeated interaction with a
sequence
of copies of another system. For $\mathcal{B}(\mathcal{H})$ we give criteria
sufficient to ensure that all normal states are universally preparable which
can be verified for a class of non-commutative birth and death processes
realized, in particular, by the interaction of a micromaser with a stream of
atoms. As a tool the theory of tight sequences of states and of stationary
states is further developed and we show that in the presence of stationary
faithful normal states universal preparability of all normal states is
equivalent to asymptotic completeness, a notion studied earlier in
connection
with the scattering theory of non-commutative Markov processes.
\\ ( https://arxiv.org/abs/1605.00315 , 35kb)
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\\
arXiv:1605.00349
Date: Mon, 2 May 2016 04:22:27 GMT (11kb)

Title: Determinants associated to traces on operator bimodules
Authors: K. Dykema, F. Sukochev and D. Zanin
Categories: math.OA math.FA
Comments: 11 pages
MSC-class: 46L52
\\
Given a II$_1$-factor $\mathcal{M}$ with tracial state $\tau$ and given an
$\mathcal{M}$-bimodule $\mathcal{E}(\mathcal{M},\tau)$ of operators
affiliated
to $\mathcal{M}$ and a trace $\varphi$ on $\mathcal{E}(\mathcal{M},\tau)$,
(namely, a linear functional that is invariant under unitary conjugation),
we
prove that $\det_\varphi:\mathcal{E}_{\log}(\mathcal{M},\tau)\to[0,\infty)$
defined by $\det_\varphi(T)=\exp(\varphi(\log |T|))$ is a multiplicative
map on
the set $\mathcal{E}_{\log}(\mathcal{M},\tau)$ of all affiliated operators
$T$
such that $\log_+(|T|)\in\mathcal{E}(\mathcal{M},\tau)$.
\\ ( https://arxiv.org/abs/1605.00349 , 11kb)
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\\
arXiv:1605.00042
Date: Fri, 29 Apr 2016 23:36:39 GMT (629kb)

Title: Improved Sparse Low-Rank Matrix Estimation
Authors: Ankit Parekh and Ivan W. Selesnick
Categories: math.OC
Comments: 15 pages, 9 figures
\\
This paper addresses the problem of estimating a sparse low-rank matrix
from
its noisy observation. We propose a convex objective function consisting of
a
data-fidelity term and two parameterized non-convex penalty functions. The
non-convex penalty functions induce sparsity of the singular values and the
entries of the matrix to be estimated. We show how to set the parameters of
the
non-convex penalty functions, in order to ensure that the objective
function is
strictly convex. The proposed objective function better estimates sparse
low-rank matrices than the convex method which utilizes the sum of the
nuclear
norm and the $\ell_1$ norm. We derive an algorithm (as an instance of ADMM)
to
solve the proposed problem, and guarantee its convergence provided the
scalar
augmented Lagrangian parameter is set appropriately.
\\ ( https://arxiv.org/abs/1605.00042 , 629kb)
------------------------------------------------------------------------------
\\
arXiv:1605.00071
Date: Sat, 30 Apr 2016 07:47:29 GMT (394kb,D)

Title: The Homotopy Method Revisited: Computing Solution Paths of
$\ell_1$-Regularized Problems
Authors: Bj\"orn Bringmann, Daniel Cremers, Felix Krahmer, Michael M\"oller
Categories: math.OC
Comments: 19 pages, 4 figures
MSC-class: 90C25 (Primary) 49N45, 62J07 (Secondary)
\\
$ \ell_1 $-regularized linear inverse problems are frequently used in
signal
processing, image analysis, and statistics. The correct choice of the
regularization parameter $ t \in \mathbb{R}_{\geq 0} $ is a delicate issue.
Instead of solving the variational problem for a fixed parameter, the idea
of
the homotopy method is to compute a complete solution path $ u(t) $ as a
function of $ t $. In a celebrated paper by Osborne, Presnell, and Turlach,
it
has been shown that the computational cost of this approach is often
comparable
to the cost of solving the corresponding least squares problem. Their
analysis
relies on the one-at-a-time condition, which requires that different indices
enter or leave the support of the solution at distinct regularization
parameters. In this paper, we introduce a generalized homotopy algorithm
based
on a nonnegative least squares problem, which does not require such a
condition, and prove its termination after finitely many steps. At every
point
of the path, we give a full characterization of all possible directions. To
illustrate our results, we discuss examples in which the standard homotopy
method either fails or becomes infeasible. To the best of our knowledge, our
algorithm is the first to provably compute a full solution path for an
arbitrary combination of an input matrix and a data vector.
\\ ( https://arxiv.org/abs/1605.00071 , 394kb)
------------------------------------------------------------------------------
\\
arXiv:1605.00076
Date: Sat, 30 Apr 2016 08:17:35 GMT (3196kb)

Title: Asynchronous Optimization Over Heterogeneous Networks via Consensus
ADMM
Authors: Sandeep Kumar, Rahul Jain, Ketan Rajawat
Categories: math.OC cs.IT cs.SI math.IT
Comments: Submitted to Transactions on signal and information processing
over
Networks
\\
This paper considers the distributed optimization of a sum of locally
observable, non-convex functions. The optimization is performed over a
multi-agent networked system, and each local function depends only on a
subset
of the variables. An asynchronous and distributed alternating directions
method
of multipliers (ADMM) method that allows the nodes to defer or skip the
computation and transmission of updates is proposed in the paper. The
proposed
algorithm utilizes different approximations in the update step, resulting in
proximal and majorized ADMM variants. Both variants are shown to converge
to a
local minimum, under certain regularity conditions. The proposed
asynchronous
algorithms are also applied to the problem of cooperative localization in
wireless ad hoc networks, where it is shown to outperform the other
state-of-the-art localization algorithms.
\\ ( https://arxiv.org/abs/1605.00076 , 3196kb)
------------------------------------------------------------------------------
\\
arXiv:1605.00117
Date: Sat, 30 Apr 2016 14:40:29 GMT (9kb)

Title: Existence of equilibrium of the generalized games in choice form and
applications
Authors: Monica Patriche
Categories: math.OC
Comments: 12 pages
\\
In this paper, we introduce a generalized game in choice form, which
differs
slightly from the model defined by Ferrara and Stefanescu (2015) and we
obtain
the existence of the equilibrium for this model. As applications, we obtain
new
theorems concernong the existence of solutions for systems of vector
equilibrium problems.
\\ ( https://arxiv.org/abs/1605.00117 , 9kb)
------------------------------------------------------------------------------
\\
arXiv:1605.00125
Date: Sat, 30 Apr 2016 15:39:21 GMT (15kb)

Title: An accelerated algorithm for minimizing convex compositions
Authors: Dmitriy Drusvyatskiy and Courtney Kempton
Categories: math.OC
Comments: 13 pages
MSC-class: 97N60, 90C25, 90C06, 90C30
\\
We describe a new proximal algorithm for minimizing compositions of
finite-valued convex functions with smooth mappings. When applied to convex
optimization problems having an additive composite form, the algorithm
reduces
to FISTA. The method both realizes the best known complexity bound of
$\mathcal{O}(1/\epsilon)$ in optimality conditions whenever the objective
function has bounded domain, and achieves the accelerated rate
$\mathcal{O}(1/\sqrt{\epsilon})$ in function values under standard convexity
assumptions. A natural convexity parameter of the composition quantifies the
transition between the two modes of convergence.
\\ ( https://arxiv.org/abs/1605.00125 , 15kb)
------------------------------------------------------------------------------
\\
arXiv:1605.00158
Date: Sat, 30 Apr 2016 20:01:52 GMT (30kb)

Title: Necessary Optimality Conditions for Optimal Control Problems with
Equilibrium Constraints
Authors: Lei Guo and Jane Ye
Categories: math.OC
\\
This paper introduces and studies the optimal control problem with
equilibrium constraints (OCPEC). The OCPEC is an optimal control problem
with a
mixed state and control equilibrium constraint formulated as a
complementarity
constraint and it can be seen as a dynamic mathematical program with
equilibrium constraints. It provides a powerful modeling paradigm for many
practical problems such as bilevel optimal control problems and dynamic
principal-agent problems. In this paper, we propose weak, Clarke,
Mordukhovich
and strong stationarities for the OCPEC. Moreover, we give some sufficient
conditions to ensure that the local minimizers of the OCPEC are Fritz John
type
weakly stationary, Mordukhovich stationary and strongly stationary,
respectively. Unlike Pontryagain's maximum principle for the classical
optimal
control problem with equality and inequality constraints, a counter example
shows that for general OCPECs, there may exist two sets of multipliers for
the
complementarity constraints. A condition under which these two sets of
multipliers coincide is given.
\\ ( https://arxiv.org/abs/1605.00158 , 30kb)
------------------------------------------------------------------------------
\\
arXiv:1605.00197
Date: Sun, 1 May 2016 02:30:17 GMT (198kb,D)

Title: Software for cut-generating functions in the Gomory--Johnson model
and
beyond
Authors: Chun Yu Hong, Matthias K\"oppe, Yuan Zhou
Categories: math.OC
Comments: 8 pages, 3 figures; to appear in Proc. International Congress on
Mathematical Software 2016
MSC-class: 90C10
\\
We present software for investigations with cut generating functions in
the
Gomory-Johnson model and extensions, implemented in the computer algebra
system
SageMath.
\\ ( https://arxiv.org/abs/1605.00197 , 198kb)
------------------------------------------------------------------------------
\\
arXiv:1605.00201
Date: Sun, 1 May 2016 03:36:58 GMT (24kb,D)

Title: Further properties of the forward-backward envelope with
applications to
difference-of-convex programming
Authors: Tianxiang Liu and Ting Kei Pong
Categories: math.OC stat.ML
\\
In this paper, we further study the forward-backward envelope first
introduced in [27] and [29] for problems whose objective is the sum of a
proper
closed convex function and a smooth possibly nonconvex function with
Lipschitz
continuous gradient. We derive sufficient conditions on the original problem
for the corresponding forward-backward envelope to be a level-bounded and
Kurdyka-{\L}ojasiewicz function with an exponent of $\frac12$; these results
are important for the efficient minimization of the forward-backward
envelope
by classical optimization algorithms. In addition, we demonstrate how to
minimize some difference-of-convex regularized least squares problems by
minimizing a suitably constructed forward-backward envelope. Our preliminary
numerical results on randomly generated instances of large-scale
$\ell_{1-2}$
regularized least squares problems [36] illustrate that an implementation of
this approach with a limited-memory BFGS scheme outperforms some standard
first-order methods such as the nonmonotone proximal gradient method in
[34].
\\ ( https://arxiv.org/abs/1605.00201 , 24kb)
------------------------------------------------------------------------------
\\
arXiv:1605.00267
Date: Sun, 1 May 2016 15:48:56 GMT (46kb)

Title: Distributed Algorithms for Aggregative Games on Graphs
Authors: Jayash Koshal, Angelia Nedi\'c and Uday V. Shanbhag
Categories: math.OC
\\
We consider a class of Nash games, termed as aggregative games, being
played
over a networked system. In an aggregative game, a player's objective is a
function of the aggregate of all the players' decisions. Every player
maintains
an estimate of this aggregate, and the players exchange this information
with
their local neighbors over a connected network. We study distributed
synchronous and asynchronous algorithms for information exchange and
equilibrium computation over such a network. Under standard conditions, we
establish the almost-sure convergence of the obtained sequences to the
equilibrium point. We also consider extensions of our schemes to aggregative
games where the players' objectives are coupled through a more general form
of
aggregate function. Finally, we present numerical results that demonstrate
the
performance of the proposed schemes.
\\ ( https://arxiv.org/abs/1605.00267 , 46kb)
------------------------------------------------------------------------------
\\
arXiv:1605.00320
Date: Sun, 1 May 2016 23:15:59 GMT (13kb)

Title: A unified convergence bound for conjugate gradient and accelerated
gradient
Authors: Sahar Karimi, Stephen A. Vavasis
Categories: math.OC
MSC-class: 90C25
ACM-class: G.1.6
\\
Nesterov's accelerated gradient method for minimizing a smooth strongly
convex function $f$ is known to reduce $f(\x_k)-f(\x^*)$ by a factor of
$\eps\in(0,1)$ after $k\ge O(\sqrt{L/\ell}\log(1/\eps))$ iterations, where
$\ell,L$ are the two parameters of smooth strong convexity. Furthermore, it
is
known that this is the best possible complexity in the function-gradient
oracle
model of computation. The method of linear conjugate gradients (CG) also
satisfies the same complexity bound in the special case of strongly convex
quadratic functions, but in this special case it is faster than the
accelerated
gradient method.
Despite similarities in the algorithms and their asymptotic convergence
rates, the conventional analyses of the two methods are nearly disjoint. The
purpose of this note is provide a single quantity that decreases on every
step
at the correct rate for both algorithms. Our unified bound is based on a
potential similar to the potential in Nesterov's original analysis.
As a side benefit of this analysis, we provide a direct proof that
conjugate
gradient converges in $O(\sqrt{L/\ell}\log(1/\eps))$ iterations. In
contrast,
the traditional indirect proof first establishes this result for the
Chebyshev
algorithm, and then relies on optimality of conjugate gradient to show that
its
iterates are at least as good as Chebyshev iterates. To the best of our
knowledge, ours is the first direct proof of the convergence rate of linear
conjugate gradient in the literature.
\\ ( https://arxiv.org/abs/1605.00320 , 13kb)
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\\
arXiv:1605.00479
Date: Mon, 2 May 2016 13:38:38 GMT (920kb,D)

Title: A Nonconvex Nonsmooth Regularization Method for Compressed Sensing
and
Low-Rank Matrix Completion
Authors: Zhuo-Xu Cui, Qibin Fan
Categories: math.OC
Comments: 19 pages,4 figures
\\
In this paper, nonconvex and nonsmooth models for compressed sensing (CS)
and
low rank matrix completion (MC) is studied. The problem is formulated as a
nonconvex regularized leat square optimization problems, in which the
l0-norm
and the rank function are replaced by l1-norm and nuclear norm, and adding a
nonconvex penalty function respectively. An alternating minimization scheme
is
developed, and the existence of a subsequence, which generate by the
alternating algorithm that converges to a critical point, is proved. The
NSP,
RIP, and RIP condition for stable recovery guarantees also be analysed for
the
nonconvex regularized CS and MC problems respectively. Finally, the
performance
of the proposed method is demonstrated through experimental results.
\\ ( https://arxiv.org/abs/1605.00479 , 920kb)
------------------------------------------------------------------------------
\\
arXiv:1605.00606
Date: Mon, 2 May 2016 18:29:34 GMT (411kb)

Title: A Limited-Feedback Approximation Scheme for Optimal Switching
Problems
with Execution Delays
Authors: Magnus Perninge
Categories: math.OC
MSC-class: 60G40, 93E20, 49L20, 62P20
\\
We consider a type of optimal switching problems with non-uniform
execution
delays and ramping. Such problems frequently occur in the operation of
economical and engineering systems. We first provide a solution to the
problem
by applying a probabilistic method. The main contribution is, however, a
scheme
for approximating the optimal control by limiting the information in the
state-feedback. In a numerical example the approximation routine shows a
considerable computational performance enhancement when compared to a
conventional algorithm.
\\ ( https://arxiv.org/abs/1605.00606 , 411kb)
------------------------------------------------------------------------------
\\
arXiv:1605.00627
Date: Mon, 2 May 2016 19:18:48 GMT (399kb)

Title: Random Access Design for Wireless Control Systems
Authors: Konstantinos Gatsis, Alejandro Ribeiro, George J. Pappas
Categories: math.OC
\\
Interferences arising between wireless sensor-actuator systems
communicating
over shared wireless channels adversely affect closed loop control
performance.
To mitigate this problem we design appropriate channel access policies for
wireless control systems subject to channel fading. The design is posed as
an
optimization problem where the total transmit power of the sensors is
minimized
while desired control performance is guaranteed for each involved control
loop.
Control performance is abstracted as a desired expected decrease rate of a
given Lyapunov function for each loop. We prove that the optimal channel
access
policies are decoupled and, intuitively, each sensor balances the gains from
transmitting to its actuator with the negative interference effect on all
other
control loops. Moreover the optimal policies are of a threshold nature, that
is, a sensor transmits only under favorable local fading conditions.
Finally,
we show that the optimal policies can be computed by a distributed iterative
procedure which does not require coordination between the sensors.
\\ ( https://arxiv.org/abs/1605.00627 , 399kb)
------------------------------------------------------------------------------
\\
arXiv:1605.00001
Date: Thu, 28 Apr 2016 21:05:40 GMT (17kb)

Title: Joint Statistics of Random Walk on $Z^1$ and Accumulation of Visits
Authors: Jerome K. Percus and Ora E. Percus
Categories: math.PR
Comments: 8 pages, 1 figure
MSC-class: Primary: 60G50, Secondary: 60J10
\\
We obtain the joint distribution $P_N (X, K|Z)$ of the location $X$ of a
one-dimensional symmetric next neighbor random walk on the integer lattice,
and
the number of times the walk has visited a specified site $Z$. This
distribution has a simple form in terms of the one variable distribution
$p_{N'}(X')$, where $N'=N-K$ and $X'$ is a function of $X, K$, and $Z$. The
marginal distribution of $X$ and $K$ are obtained, as well as their
diffusion
scaling limits.
\\ ( https://arxiv.org/abs/1605.00001 , 17kb)
------------------------------------------------------------------------------
\\
arXiv:1605.00024
Date: Fri, 29 Apr 2016 21:06:11 GMT (20kb)

Title: Intermittency for the Hyperbolic Anderson Model with rough noise in
space
Authors: Raluca M. Balan, Maria Jolis, Llu\'is Quer-Sardanyons
Categories: math.PR
\\
In this article, we consider the stochastic wave equation on the real line
driven by a linear multiplicative Gaussian noise, which is white in time and
whose spatial correlation corresponds to that of a fractional Brownian
motion
with Hurst index $H\in (\frac14,\frac12)$. Initial data are assumed to be
constant. First, we prove that this equation has a unique solution (in the
Skorohod sense) and obtain an exponential upper bound for the $p$-th moment
of
the solution, for any $p\geq 2$. Condition $H>\frac14$ turns out to be
necessary for the existence of solution. Secondly, we show that this
solution
coincides with the one obtained by the authors in a recent publication, in
which the solution is interpreted in the It\^o sense. Finally, we prove that
the solution of the equation in the Skorohod sense is weakly intermittent.
\\ ( https://arxiv.org/abs/1605.00024 , 20kb)
------------------------------------------------------------------------------
\\
arXiv:1605.00039
Date: Fri, 29 Apr 2016 23:02:25 GMT (156kb,D)

Title: Nonzero-sum stochastic differential games with impulse controls and
applications to retail energy markets
Authors: Ren\'e A\"id, Matteo Basei, Giorgia Callegaro, Luciano Campi,
Tiziano
Vargiolu
Categories: math.PR q-fin.EC
Comments: 3 figures
\\
We study the notion of Nash equilibrium in a general nonzero-sum impulse
game
for two players. The main mathematical contribution of the paper is a
verification theorem which provides, under some regularity conditions, the
system of quasi-variational inequalities identifying the value functions and
the optimal strategies of the two players.
As an application, we propose a model for the competition among retailers
in
electricity markets. We first consider a simplified one-player setting,
where
we obtain a quasi-explicit expression for the value function and the optimal
control. Then, we turn to the two-player case and we provide a detailed
heuristic analysis of the retail impulse game, conducted along the lines of
the
verification theorem obtained in the general setting. This allows to
identify
reasonable candidates for the intervention and continuation regions of both
players and their strategies.
\\ ( https://arxiv.org/abs/1605.00039 , 156kb)
------------------------------------------------------------------------------
\\
arXiv:1605.00118
Date: Sat, 30 Apr 2016 14:41:16 GMT (157kb,D)

Title: Eigenvectors of the critical 1-dimensional random Schroedinger
operator
Authors: Ben Rifkind, Balint Virag
Categories: math.PR
\\
The purpose of this paper is to understand in more detail the shape of the
eigenvectors of the random Schroedinger operator H = Delta+V. Here Delta is
the
discrete Laplacian and V is a random potential. It is well known that under
certain assumptions on V the spectrum of this operator is pure point and its
eigenvectors are exponentially localized; a phenomenon known as Anderson
Localization. We restrict the operator to Z_n and consider the critical
model
H_n. We show that the shape of a uniformly chosen eigenvector of H_n
converges
in law to exp (-|t|/4 + Z_t/sqrt(2)), where Z is two-sided Brownian motion.
\\ ( https://arxiv.org/abs/1605.00118 , 157kb)
------------------------------------------------------------------------------
\\
arXiv:1605.00162
Date: Sat, 30 Apr 2016 20:29:06 GMT (13kb)

Title: Fractional smoothness of images of logarithmically concave measures
under polynomials
Authors: Egor D. Kosov
Categories: math.PR
\\
We show that a measure on the real line that is the image of a log-concave
measure under a polynomial of degree $d$ possesses a density from the
Nikol'skii--Besov class of fractional order $1/d$. This result is used to
prove
an estimate of the total variation distance between such measures in terms
of
the Fortet--Mourier distance.
\\ ( https://arxiv.org/abs/1605.00162 , 13kb)
------------------------------------------------------------------------------
\\
arXiv:1605.00277
Date: Sun, 1 May 2016 16:47:54 GMT (6kb)

Title: Asymptotic bounds on renewal process stopping times
Authors: Jesse Geneson
Categories: math.PR
Comments: 8 pages
MSC-class: 60G50
\\
Let $M(t)$ denote the expected number of terms in the first partial sum of
independent uniform $[0,1]$ random variables that exceeds $t$. Let $N(t)$
denote the expected number of terms in the first partial product of
independent
uniform $[1, e]$ random variables that exceeds $e^{t}$. It is known that
$M(t)
= 2t+\frac{2}{3}+o(1)$, $M(t) = \sum_{k = 0}^{\left \lceil{t}\right \rceil}
\frac{(-1)^{k} (t-k)^{k}}{k!}e^{t-k}$, and $N(1) =
\frac{e-1}{e}+e^{\frac{1}{e-1}}$.
We show that $\lim_{t \rightarrow \infty} \frac{N(t)}{t} = e-1$ and $M(t)
\geq N(t)$ for all $t \geq 0$. We also show that $N(t) =
\frac{e-1}{e}+e^{t-1+\frac{t}{e-1}}$ for $t \in [0,1]$ and we prove that
$\frac{d}{dt}(N(t)e^{-\frac{e}{e-1}t}) = -\frac{e}{e-1}e^{-\frac{e}{e-1}t}
N(t-1)-e^{-\frac{e}{e-1}t}$. In addition, we show that $N(t) =
(e-1)(t+\frac{e-2}{2})+o(1)$, and we find asymptotic bounds on the stopping
times of a more general family of renewal processes.
\\ ( https://arxiv.org/abs/1605.00277 , 6kb)
------------------------------------------------------------------------------
\\
arXiv:1605.00285
Date: Sun, 1 May 2016 18:14:48 GMT (25kb)

Title: The Borell-Ehrhard Game
Authors: Ramon van Handel
Categories: math.PR math.FA math.MG
Comments: 23 pages
MSC-class: 60G15, 39B62, 52A40, 91A15
\\
A precise description of the convexity of Gaussian measures is provided by
sharp Brunn-Minkowski type inequalities due to Ehrhard and Borell. We show
that
these are manifestations of a game-theoretic mechanism: a minimax
variational
principle for Brownian motion. As an application, we obtain a Gaussian
improvement of Barthe's reverse Brascamp-Lieb inequality.
\\ ( https://arxiv.org/abs/1605.00285 , 25kb)
------------------------------------------------------------------------------
\\
arXiv:1605.00361
Date: Mon, 2 May 2016 06:24:06 GMT (3510kb,D)

Title: Monte Carlo with Determinantal Point Processes
Authors: R\'emi Bardenet, Adrien Hardy
Categories: math.PR math.CA stat.CO stat.ME
Comments: 48 pages, 2 figures
\\
We show that repulsive random variables can yield Monte Carlo methods with
faster convergence rates than the typical $N^{-1/2}$, where $N$ is the
number
of integrand evaluations. More precisely, we propose stochastic numerical
quadratures involving determinantal point processes associated with
multivariate orthogonal polynomials, and we obtain root mean square errors
that
decrease as $N^{-(1+1/d)/2}$, where $d$ is the dimension of the ambient
space.
First, we prove a central limit theorem (CLT) for the linear statistics of a
class of determinantal point processes, when the reference measure is a
product
measure supported on a hypercube, which satisfies the Nevai-class regularity
condition, a result which may be of independent interest. Next, we
introduce a
Monte Carlo method based on these determinantal point processes, and prove a
CLT with explicit limiting variance for the quadrature error, when the
reference measure satisfies a stronger regularity condition. As a
corollary, by
taking a specific reference measure and using a construction similar to
importance sampling, we obtain a general Monte Carlo method, which applies
to
any measure with continuously derivable density. Loosely speaking, our
method
can be interpreted as a stochastic counterpart to Gaussian quadrature,
which,
at the price of some convergence rate, is easily generalizable to any
dimension
and has a more explicit error term.
\\ ( https://arxiv.org/abs/1605.00361 , 3510kb)
------------------------------------------------------------------------------
\\
arXiv:1605.00415
Date: Mon, 2 May 2016 10:03:07 GMT (117kb,D)

Title: Poisson approximation of the length spectrum of random surfaces
Authors: Bram Petri, Christoph Thaele
Categories: math.PR math.DG math.GT
MSC-class: 57M50, 60C05, 60D05, 60F05
\\
Multivariate Poisson approximation of the length spectrum of random
surfaces
is studied by means of the Chen-Stein method. This approach delivers simple
and
explicit error bounds in Poisson limit theorems. They are used to prove that
Poisson approximation applies to curves of length up to order $o(\log\log
g)$
with $g$ being the genus of the surface.
\\ ( https://arxiv.org/abs/1605.00415 , 117kb)
------------------------------------------------------------------------------
\\
arXiv:1605.00581
Date: Mon, 2 May 2016 17:43:28 GMT (613kb,D)

Title: Martingales in self-similar growth-fragmentations and their
connections
with random planar maps
Authors: Jean Bertoin, Timothy Budd, Nicolas Curien, Igor Kortchemski
Categories: math.PR math-ph math.MP
Comments: 57 pages, 6 figures
\\
The purpose of the present work is twofold. First, we develop the theory
of
general self-similar growth-fragmentation processes by focusing on
martingales
which appear naturally in this setting. As an application, we establish
many-to-one formulas for growth-fragmentations and define the notion of
intrinsic area of a growth-fragmentation. Second, we identify a
distinguished
family of growth-fragmentations closely related to stable L\'evy processes,
which are then shown to arise as the scaling limit of the perimeter process
in
Markovian explorations of certain random planar maps with large degrees
(which
are, roughly speaking, the dual maps of the stable maps of Le Gall &
Miermont).
This generalizes a geometric connection between large Boltzmann
triangulations
and a certain growth-fragmentation process, which was established in
arXiv:1507.02265 .
\\ ( https://arxiv.org/abs/1605.00581 , 613kb)
------------------------------------------------------------------------------
\\
arXiv:1605.00227
Date: Sun, 1 May 2016 09:49:56 GMT (206kb)

Title: On Fomin--Kirillov Algebras for Complex Reflection Groups
Authors: Robert Laugwitz
Categories: math.QA math.RA
Comments: 12 pages, 2 tables, TikZ figures
MSC-class: 17B37, 16T05, 16T30
\\
This note is an application of classification results for
finite-dimensional
Nichols algebras over groups. We apply these results to generalizations of
Fomin--Kirillov algebras to complex reflection groups. First, we focus on
the
case of cyclic groups where the corresponding Nichols algebras are only
finite-dimensional up to order four, and we include results about the
existence
of Weyl groupoids and finite-dimensional Nichols subalgebras for this class.
Second, recent results by Heckenberger--Vendramin [ArXiv e-prints, 1412.0857
(December 2014)] on the classification of Nichols algebras of semisimple
group
type can be used to find that these algebras are infinite-dimensional for
many
non-exceptional complex reflection groups in the Shephard--Todd
classification.
\\ ( https://arxiv.org/abs/1605.00227 , 206kb)
------------------------------------------------------------------------------
\\
arXiv:1605.00254
Date: Sun, 1 May 2016 14:09:26 GMT (30kb)

Title: Homomorphisms and rigid isomorphisms of twisted group doubles
Authors: Marc Keilberg
Categories: math.QA math.GR math.RA
Comments: 35 pages
MSC-class: 16W20, 16T99, 20D99
\\
We prove several results concerning quasi-bialgebra morphisms
$\mathcal{D}^\omega(G)\to\mathcal{D}^\eta(H)$ of twisted group doubles. We
take
a particular focus on the isomorphisms which are simultaneously isomorphisms
$\mathcal{D}(G)\to\mathcal{D}(H)$. All such isomorphisms are shown to be
morphisms of quasi-Hopf algebras, and a classification of all such
isomorphisms
is determined. Whenever $\omega\in Z^3(G/Z(G),U(1))$ this suffices to
completely describe $\operatorname{Aut}(\mathcal{D}^\omega(G))$, the group
of
quasi-Hopf algebra isomorphisms of $\mathcal{D}^\omega(G)$, and so
generalizes
existing descriptions for the case where $\omega$ is trivial.
\\ ( https://arxiv.org/abs/1605.00254 , 30kb)
------------------------------------------------------------------------------
\\
arXiv:1605.00268
Date: Sun, 1 May 2016 15:50:27 GMT (15kb)

Title: Cohomology and Deformation of Virasoro Extensions of q-Witt Hom-Lie
superalgebra
Authors: Abdenacer Makhlouf and Nejib Saadaoui
Categories: math.QA math-ph math.MP
\\
The purpose of this paper is to study Virasoro extensions of the
q-deformed
Witt Hom-Lie superalgebra. Moreover, we provide the cohomology and
deformations
of the Ramond Hom-superalgebra and special Ramond Hom-superalgebra.
\\ ( https://arxiv.org/abs/1605.00268 , 15kb)
------------------------------------------------------------------------------
\\
arXiv:1605.00560
Date: Mon, 2 May 2016 16:45:48 GMT (22kb)

Title: Finite dimensional Hopf actions on algebraic quantizations
Authors: Pavel Etingof and Chelsea Walton
Categories: math.QA math.RA
Comments: 27 pages
\\
Let k be an algebraically closed field of characteristic zero. In joint
work
with J. Cuadra [arxiv.org/abs/1409.1644, arxiv.org/abs/1509.01165], we
showed
that a semisimple Hopf action on a Weyl algebra over a polynomial algebra
k[z_1,...,z_s] factors through a group action, and this in fact holds for
any
finite dimensional Hopf action if s=0. We also generalized these results to
finite dimensional Hopf actions on algebras of differential operators. In
this
work we establish similar results for Hopf actions on other algebraic
quantizations of commutative domains. This includes universal enveloping
algebras of finite dimensional Lie algebras, spherical symplectic reflection
algebras, quantum Hamiltonian reductions of Weyl algebras (in particular,
quantized quiver varieties), finite W-algebras and their central reductions,
quantum polynomial algebras, twisted homogeneous coordinate rings of abelian
varieties, and Sklyanin algebras. The generalization in the last three cases
uses a result from algebraic number theory, due to A. Perucca.
\\ ( https://arxiv.org/abs/1605.00560 , 22kb)
------------------------------------------------------------------------------
\\
arXiv:1605.00174
Date: Sat, 30 Apr 2016 22:12:38 GMT (23kb)

Title: Reduction Operators and Completion of Rewriting Systems
Authors: Cyrille Chenavier
Categories: math.RA
\\
We propose a functional description of rewriting systems where reduction
rules are represented by linear maps called reduction operators. We show
that
reduction operators admit a lattice structure. Using this structure we
define
the notion of confluence and we show that this notion is equivalent to the
Church-Rosser property of reduction operators. In this paper we give an
algebraic formulation of completion using the lattice structure. We relate
reduction operators and Gr\"obner bases. Finally, we introduce generalised
reduction operators relative to non total ordered sets.
\\ ( https://arxiv.org/abs/1605.00174 , 23kb)
------------------------------------------------------------------------------
\\
arXiv:1605.00138
Date: Sat, 30 Apr 2016 17:08:50 GMT (55kb)

Title: Introduction to W-algebras and their representation theory
Authors: Tomoyuki Arakawa
Categories: math.RT math-ph math.MP math.QA
\\
These are lecture notes from author's mini-course during Session 1:
"Vertex
algebras, W-algebras, and application" of INdAM Intensive research period
"Perspectives in Lie Theory", at the Centro di Ricerca Matematica Ennio De
Giorgi, Pisa, Italy. December 9, 2014 -- February 28, 2015.
\\ ( https://arxiv.org/abs/1605.00138 , 55kb)
------------------------------------------------------------------------------
\\
arXiv:1605.00192
Date: Sun, 1 May 2016 00:44:51 GMT (35kb)

Title: Tau Functions, Birkhoff Factorizations & Difference Equations
Authors: Darlayne Addabbo and Maarten Bergvelt
Categories: math.RT
Comments: 51 pages
\\
$Q$-systems and $T$-systems are integrable difference equations that
recently
have attracted much attention, and have wide applications in representation
theory and statistical mechanics. We show that certain $\tau$-functions,
given
as matrix elements of the action of the loop group of $\mathbf{GL}_{2}$ on
two
component Fermionic Fock space, give solutions of $Q$-systems.
An obvious generalization using the loop group of $\mathbf{GL}_{3}$
acting on
three component Fermionic Fock space leads to a new system of 4 difference
equations, with hopefully also interesting applications.
\\ ( https://arxiv.org/abs/1605.00192 , 35kb)
------------------------------------------------------------------------------
\\
arXiv:1605.00228
Date: Sun, 1 May 2016 10:04:31 GMT (26kb)

Title: On the functor of Arakawa, Suzuki and Tsuchiya
Authors: Sergey Khoroshkin, Maxim Nazarov
Categories: math.RT math.QA
Comments: 22 pages
\\
Arakawa, Suzuki and Tsuchiya constructed a correspondence between certain
modules of the trigonometric Cherednik algebra $\mathfrak{C}_N$ depending
on a
parameter $\kappa\in\mathbb{C}$, and certain modules of the affine Lie
algebra
$\widehat{\mathfrak{sl}}_m$ of level $\kappa-m$. We give a detailed proof of
this correspondence by working with the affine Lie algebra
$\widehat{\mathfrak{gl}}_m$ alongside of $\widehat{\mathfrak{sl}}_m$. We
also
relate this construction to a correspondence between certain modules of the
degenerate affine Hecke algebra $\mathfrak{H}_N$ and all modules of
$\mathfrak{sl}_m$ or $\mathfrak{gl}_m$. The latter correspondence was
constructed earlier by Cherednik.
\\ ( https://arxiv.org/abs/1605.00228 , 26kb)
------------------------------------------------------------------------------
\\
arXiv:1605.00229
Date: Sun, 1 May 2016 10:04:36 GMT (33kb)

Title: Cherednik algebras and Zhelobenko operators
Authors: Sergey Khoroshkin, Maxim Nazarov
Categories: math.RT math.QA
Comments: 26 pages
\\
We study canonical intertwining operators between modules of the
trigonometric Cherednik algebra, induced from the standard modules of the
degenerate affine Hecke algebra. We show that these operators correspond to
the
Zhelobenko operators for the affine Lie algebra
$\widehat{\mathfrak{sl}}_m$. To
establish the correspondence, we use the functor of Arakawa, Suzuki and
Tsuchiya which maps certain $\widehat{\mathfrak{sl}}_m$-modules to modules
of
the Cherednik algebra.
\\ ( https://arxiv.org/abs/1605.00229 , 33kb)
------------------------------------------------------------------------------
\\
arXiv:1605.00242
Date: Sun, 1 May 2016 11:56:23 GMT (23kb)

Title: Hall algebras and quantum groups associated to Dynkin quivers
Authors: Yun Gao, Limeng Xia
Categories: math.RT math.QA
\\
For Dynkin quivers, we find the Laurent polynomials $\widetilde{X}_{a,
c}^{b}(v)$ and use $\widetilde{X}_{a, c}^{b}(v)$ to construct the Hall
algebra
$\hc_v(\cc(\cp))$ over $\mz[v, v^{-1}]$, where $\widetilde{X}_{a,
c}^{b}(|\mf_q|)$'s are structure constants used by Bridgeland. The Laurent
polynomials $\widetilde{X}_{a, c}^{b}(v)$ are explicitly given in $A_1$
case.
As an application, we obtain the full quantum groups $U_t(\sg)$ associated
to
the Dynkin quivers for arbitrary $t\not=0,\pm1$.
\\ ( https://arxiv.org/abs/1605.00242 , 23kb)
------------------------------------------------------------------------------
\\
arXiv:1605.00262
Date: Sun, 1 May 2016 15:05:26 GMT (11kb)

Title: A note on the freeness of spherical Hecke modules of unramified
$U(2,1)$
Authors: Peng Xu
Categories: math.RT
Comments: 11 pages, comments are welcome
\\
Let $G$ be the unramified $U(2,1) (E/F)$ and $K$ be a maximal compact open
subgroup of $G$. For an irreducible smooth representation $\sigma$ of $K$
over
$\overline{\mathbf{F}}_p$, under a technical assumption we show the
compactly
induced representation $\text{ind}^G _K \sigma$ is free over the spherical
Hecke algebra $\mathcal{H}(K, \sigma)$, and such an assumption is verified
when
$\sigma$ is either $\chi\circ \text{det}$ or $\chi\circ \text{det}\otimes
St$.
\\ ( https://arxiv.org/abs/1605.00262 , 11kb)
------------------------------------------------------------------------------
\\
arXiv:1605.00417
Date: Mon, 2 May 2016 10:18:31 GMT (26kb)

Title: Degree cones and monomial bases of Lie algebras and quantum groups
Authors: Teodor Backhaus, Xin Fang and Ghislain Fourier
Categories: math.RT math.QA
Comments: 26 pages, no figure
\\
We provide $\mathbb{N}$-filtrations on the negative part
$U_q(\mathfrak{n}^-)$ of the quantum group associated to a
finite-dimensional
simple Lie algebra $\mathfrak{g}$, such that the associated graded algebra
is a
skew-polynomial algebra on $\mathfrak{n}^-$. The filtration is obtained by
assigning degrees to Lusztig's quantum PBW root vectors. The possible
degrees
can be described as lattice points in certain polyhedral cones. In the
classical limit, such a degree induces an $\mathbb{N}$-filtration on any
finite
dimensional simple $\mathfrak{g}$-module. We prove for type $\tt{A}_n$,
$\tt{C}_n$, $\tt{B}_3$, $\tt{D}_4$ and $\tt{G}_2$ that a degree can be
chosen
such that the associated graded modules are defined by monomial ideals, and
conjecture that this is true for any $\mathfrak{g}$.
\\ ( https://arxiv.org/abs/1605.00417 , 26kb)
------------------------------------------------------------------------------
\\
arXiv:1605.00592
Date: Mon, 2 May 2016 18:11:17 GMT (40kb)

Title: Deformations of symplectic singularities and Orbit method for
semisimple
Lie algebras
Authors: Ivan Losev
Categories: math.RT math.AG math.QA
Comments: 29 pages
MSC-class: 16S80, 17B35
\\
We classify filtered quantizations of conical symplectic singularities and
use this to show that all filtered quantizations of symplectic quotient
singularities are spherical Symplectic reflection algebras of Etingof and
Ginzburg. We further apply our classification and a classification of
filtered
Poisson deformations obtained by Namikawa to establish a version of the
Orbit
method for semisimple Lie algebras. Namely, we produce a natural map from
the
set of adjoint orbits in a semisimple Lie algebra to the set of primitive
ideals in the universal enveloping algebra. We show that the map is
injective
for classical Lie algebras.
\\ ( https://arxiv.org/abs/1605.00592 , 40kb)
------------------------------------------------------------------------------
\\
arXiv:1605.00577
Date: Mon, 2 May 2016 17:40:12 GMT (19kb)

Title: Notes on exploded manifolds and a tropical gluing formula for
Gromov-WItten invariants
Authors: Brett Parker
Categories: math.SG math.AG math.DG
Comments: 17 pages
\\
Notes for a short lecture series, covering exploded manifolds, the moduli
stack of curves in exploded manifolds, and a tropical gluing formula for
Gromov-Witten invariants which gives a degeneration formula for
Gromov-Witten
invariants in normal crossing degenerations. I gave the original lecture
series
in April 2016 at the Simons Center for Geometry and Physics at Stonybrook.
Video of the lectures is available on the SCGP website at
http://scgp.stonybrook.edu/video_portal/video.php?id=2595
\\ ( https://arxiv.org/abs/1605.00577 , 19kb)
------------------------------------------------------------------------------
\\
arXiv:1605.00393
Date: Mon, 2 May 2016 08:49:11 GMT (25kb)

Title: Spectral analysis of two doubly infinite Jacobi matrices with
exponential entries
Authors: Mourad E. H. Ismail, Franti\v{s}ek \v{S}tampach
Categories: math.SP
Comments: 22 pages, preprint
MSC-class: 47B36, 33D90
\\
We provide a complete spectral analysis of all self-adjoint operators
acting
on $\ell^{2}(\mathbb{Z})$ which are associated with two doubly infinite
Jacobi
matrices with entries given by $$
q^{-n+1}\delta_{m,n-1}+q^{-n}\delta_{m,n+1}
$$ and $$ \delta_{m,n-1}+\alpha q^{-n}\delta_{m,n}+\delta_{m,n+1}, $$
respectively, where $q\in(0,1)$ and $\alpha\in\mathbb{R}$. As an
application,
we derive orthogonality relations for the Ramanujan entire function and the
third Jackson $q$-Bessel function.
\\ ( https://arxiv.org/abs/1605.00393 , 25kb)
------------------------------------------------------------------------------
\\
arXiv:1605.00157
Date: Sat, 30 Apr 2016 19:58:57 GMT (365kb,D)

Title: Empirical Likelihood Ratio Test with Distribution Function
Constraints
Authors: Yingxi Liu and Ahmed Tewfik
Categories: math.ST stat.TH
Journal-ref: IEEE Transactions on Signal Processing, vol. 61, no. 18, pp.
4463-4472, Sept.15, 2013
DOI: 10.1109/TSP.2013.2271484
\\
In this work, we study non-parametric hypothesis testing problem with
distribution function constraints. The empirical likelihood ratio test has
been
widely used in testing problems with moment (in)equality constraints.
However,
some detection problems cannot be described using moment (in)equalities. We
propose a distribution function constraint along with an empirical
likelihood
ratio test. This detector is applicable to a wide variety of robust
parametric/non-parametric detection problems. Since the distribution
function
constraints provide a more exact description of the null hypothesis, the
test
outperforms the empirical likelihood ratio test with moment constraints as
well
as many popular goodness-of-fit tests, such as the robust Kolmogorov-Smirnov
test and the Cram\'er-von Mises test. Examples from communication systems
with
real-world noise samples are provided to show their performance.
Specifically,
the proposed test significantly outperforms the robust Kolmogorov-Smirnov
test
and the Cram\'er-von Mises test when the null hypothesis is nested in the
alternative hypothesis. The same example is repeated when we assume no noise
uncertainty. By doing so, we are able to claim that in our case, it is
necessary to include uncertainty in noise distribution. Additionally, the
asymptotic optimality of the proposed test is provided.
\\ ( https://arxiv.org/abs/1605.00157 , 365kb)
------------------------------------------------------------------------------
\\
arXiv:1605.00189
Date: Sun, 1 May 2016 00:37:02 GMT (599kb,D)

Title: The Shapes of Things to Come: Probability Density Quantiles
Authors: Robert G. Staudte
Categories: math.ST stat.TH
Comments: 23 pages, 10 figures, 4 tables
\\
For every discrete or continuous location-scale family having a
square-integrable density, there is a unique continuous probability
distribution on the unit interval that is determined by the density-quantile
composition introduced by Parzen in 1979. These probability density
quantiles
(pdQs) only differ in shape, and any two of them can be compared with the
Hellinger distance or Kullback-Leibler divergences. In particular the
Hellinger
distance or root-divergences of pdQs from the class of symmetric
distributions
on the unit interval are shown to be roughly proportional to the classical
third moment skewness coefficient of the pdQ. Further, a more precise
classification of shapes by tail behavior is defined in terms of limiting
pdQ
derivatives at 0 and 1. Convergent empirical estimates of these pdQ s are
provided. Finally, divergence from, and convergence to, uniformity is
investigated.
\\ ( https://arxiv.org/abs/1605.00189 , 599kb)
------------------------------------------------------------------------------
\\
arXiv:1605.00265
Date: Sun, 1 May 2016 15:31:55 GMT (10kb)

Title: On the feasibility of semi-algebraic sets in Poisson regression
Authors: Thomas Kahle
Categories: math.ST math.OC stat.TH
Comments: Extended abstract for ICMS 2016 in Berlin. 6 pages
MSC-class: 62K05, 14P10, 62J02
\\
Designing experiments for generalized linear models is difficult because
optimal designs depend on unknown parameters. The local optimality approach
is
to study the regions in parameter space where a given design is optimal. In
many situations these regions are semi-algebraic. We investigate regions of
optimality using computer tools such as yalmip, qepcad, and Mathematica.
\\ ( https://arxiv.org/abs/1605.00265 , 10kb)
------------------------------------------------------------------------------
\\
arXiv:1605.00353
Date: Mon, 2 May 2016 04:47:43 GMT (54kb,D)

Title: Rate-Optimal Perturbation Bounds for Singular Subspaces with
Applications to High-Dimensional Statistics
Authors: T. Tony Cai and Anru Zhang
Categories: math.ST math.PR stat.ME stat.TH
\\
Perturbation bounds for singular spaces, in particular Wedin's $\sin
\Theta$
theorem, are a fundamental tool in many fields including high-dimensional
statistics, machine learning, and applied mathematics. In this paper, we
establish separate perturbation bounds, measured in both spectral and
Frobenius
$\sin \Theta$ distances, for the left and right singular subspaces. Lower
bounds, which show that the individual perturbation bounds are rate-optimal,
are also given.
The new perturbation bounds are applicable to a wide range of problems. In
this paper, we consider in detail applications to low-rank matrix denoising
and
singular space estimation, high-dimensional clustering, and canonical
correlation analysis (CCA). In particular, separate matching upper and lower
bounds are obtained for estimating the left and right singular spaces. To
the
best of our knowledge, this is the first result that gives different optimal
rates for the left and right singular spaces under the same perturbation. In
addition to these problems, applications to other high-dimensional problems
such as community detection in bipartite networks, multidimensional scaling,
and cross-covariance matrix estimation are also discussed.
\\ ( https://arxiv.org/abs/1605.00353 , 54kb)
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\\
arXiv:1605.00533
Date: Mon, 2 May 2016 15:40:25 GMT (21kb)

Title: Real time change-point detection in a nonlinear quantile model
Authors: Gabriela Ciuperca
Categories: math.ST stat.ME stat.TH
\\
Most studies in real time change-point detection either focus on the
linear
model or use the CUSUM method under classical assumptions on model errors.
This
paper considers the sequential change-point detection in a nonlinear
quantile
model. A test statistic based on the CUSUM of the quantile process
subgradient
is proposed and studied. Under null hypothesis that the model does not
change,
the asymptotic distribution of the test statistic is determined. Under
alternative hypothesis that at some unknown observation there is a change in
model, the proposed test statistic converges in probability to $\infty$.
These
results allow to build the critical regions on open-end and on closed-end
procedures. Simulation results, using Monte Carlo technique, investigate the
performance of the test statistic, specially for heavy-tailed error
distributions. We also compare it with the classical CUSUM test statistic.
\\ ( https://arxiv.org/abs/1605.00533 , 21kb)
%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-
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\\
arXiv:1605.00562 (*cross-listing*)
Date: Mon, 2 May 2016 16:49:36 GMT (4285kb,D)

Title: Persistent homology of time-dependent functional networks constructed
from coupled time series
Authors: Bernadette J. Stolz, Heather A. Harrington and Mason A. Porter
Categories: q-bio.QM math.AT
\\
We use topological data analysis to study "functional networks" that we
construct from time-series data from both experimental and synthetic
sources.
Specifically, we use persistent homology in combination with a weight rank
clique filtration to gain insights into these functional networks, and we
use
persistence landscapes to interpret our results. Our first example consists
of
biological data in the form of functional magnetic resonance imaging (fMRI)
data that was acquired from human subjects during a simple motor-learning
task.
Our second example uses time-series output from networks of coupled Kuramoto
oscillators. With these examples, we demonstrate that (1) using persistent
homology to study functional networks provides fascinating insights into
their
properties and (2) the position of the features in a filtration can play a
more
vital role than persistence in the interpretation of topological features,
even
though the latter is used more commonly to distinguish between signal and
noise. We find that in particular, persistent homology can detect
differences
in synchronisation patterns in our data sets over time giving insight on
changes in community structure in the networks, and on increased
synchronisation between brain regions forming loops in the functional
network
during motor-learning. For the motor-learning data we also observe that
persistence landscapes reveal that the majority of changes in the loops of
the
network takes place on the second of three days of the learning process.
\\ ( https://arxiv.org/abs/1605.00562 , 4285kb)
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\\
arXiv:1605.00402 (*cross-listing*)
Date: Mon, 2 May 2016 09:28:32 GMT (21kb)

Title: Symbolic-Numeric Tools for Analytic Combinatorics in Several
Variables
Authors: Stephen Melczer and Bruno Salvy
Categories: cs.SC math.CO
Comments: As accepted to proceedings of ISSAC 2016
DOI: 10.1145/2930889.2930913
\\
Analytic combinatorics studies the asymptotic behaviour of sequences
through
the analytic properties of their generating functions. This article provides
effective algorithms required for the study of analytic combinatorics in
several variables, together with their complexity analyses. Given a
multivariate rational function we show how to compute its smooth isolated
critical points, with respect to a polynomial map encoding asymptotic
behaviour, in complexity singly exponential in the degree of its
denominator.
We introduce a numerical Kronecker representation for solutions of
polynomial
systems with rational coefficients and show that it can be used to decide
several properties (0 coordinate, equal coordinates, sign conditions for
real
solutions, and vanishing of a polynomial) in good bit complexity. Among the
critical points, those that are minimal---a property governed by
inequalities
on the moduli of the coordinates---typically determine the dominant
asymptotics
of the diagonal coefficient sequence. When the Taylor expansion at the
origin
has all non-negative coefficients (known as the `combinatorial case') and
under
regularity conditions, we utilize this Kronecker representation to determine
probabilistically the minimal critical points in complexity singly
exponential
in the degree of the denominator, with good control over the exponent in the
bit complexity estimate. Generically in the combinatorial case, this allows
one
to automatically and rigorously determine asymptotics for the diagonal
coefficient sequence. Examples obtained with a preliminary implementation
show
the wide applicability of this approach.
\\ ( https://arxiv.org/abs/1605.00402 , 21kb)
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\\
arXiv:1605.00198 (*cross-listing*)
Date: Sun, 1 May 2016 02:42:16 GMT (320kb,D)

Title: Delocalized Epidemics on Graphs: A Maximum Entropy Approach
Authors: Faryad Darabi Sahneh, Aram Vajdi, Caterina Scoglio
Categories: physics.soc-ph cs.SI math.DS
Comments: 6 pages, 5 figures, American Control Conference-2016
\\
The susceptible--infected--susceptible (SIS) epidemic process on complex
networks can show metastability, resembling an endemic equilibrium. In a
general setting, the metastable state may involve a large portion of the
network, or it can be localized on small subgraphs of the contact network.
Localized infections are not interesting because a true outbreak concerns
network--wide invasion of the contact graph rather than localized infection
of
certain sites within the contact network. Existing approaches to
localization
phenomenon suffer from a major drawback: they fully rely on the
steady--state
solution of mean--field approximate models in the neighborhood of their
phase
transition point, where their approximation accuracy is worst; as
statistical
physics tells us. We propose a dispersion entropy measure that quantifies
the
localization of infections in a generic contact graph. Formulating a maximum
entropy problem, we find an upper bound for the dispersion entropy of the
possible metastable state in the exact SIS process. As a result, we find
sufficient conditions such that any initial infection over the network
either
dies out or reaches a localized metastable state. Unlike existing studies
relying on the solution of mean--field approximate models, our
investigation of
epidemic localization is based on characteristics of exact SIS equations.
Our
proposed method offers a new paradigm in studying spreading processes over
complex networks.
\\ ( https://arxiv.org/abs/1605.00198 , 320kb)
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\\
arXiv:1605.00031 (*cross-listing*)
Date: Fri, 29 Apr 2016 21:40:16 GMT (157kb,D)

Title: Deep Convolutional Neural Networks on Cartoon Functions
Authors: Philipp Grohs, Thomas Wiatowski, Helmut B\"olcskei
Categories: cs.IT cs.AI cs.CV math.FA math.IT stat.ML
Comments: IEEE International Symposium on Information Theory (ISIT),
Barcelona,
Spain, July 2016
\\
Wiatowski and B\"olcskei, 2015, proved that deformation stability and
vertical translation invariance of deep convolutional neural network-based
feature extractors are guaranteed by the network structure per se rather
than
the specific convolution kernels and non-linearities. While the translation
invariance result applies to square-integrable functions, the deformation
stability bound holds for band-limited functions only. Many signals of
practical relevance (such as natural images) exhibit, however, sharp and
curved
discontinuities and are hence not band-limited. The main contribution of
this
paper is a deformation stability result that takes these structural
properties
into account. Specifically, we establish deformation stability bounds for
the
class of cartoon functions introduced by Donoho, 2001.
\\ ( https://arxiv.org/abs/1605.00031 , 157kb)
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\\
arXiv:1605.00237 (*cross-listing*)
Date: Thu, 28 Apr 2016 17:52:06 GMT (13kb)

Title: Stora's fine notion of divergent amplitudes
Authors: Joseph C. V\'arilly and Jos\'e M. Gracia-Bond\'ia
Categories: math-ph hep-th math.FA math.MP
Comments: 10 pages, no figures. Contribution to Mathematical Foundations of
Quantum Field Theory, special issue in memory of Raymond Stora, Nucl.
Phys. B
\\
Stora and coworkers refined the notion of divergent quantum amplitude,
somewhat upsetting the standard power-counting recipe. This unexpectedly
clears
the way to new prototypes for free and interacting field theories of bosons
of
any mass and spin.
\\ ( https://arxiv.org/abs/1605.00237 , 13kb)
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\\
arXiv:1605.00127 (*cross-listing*)
Date: Sat, 30 Apr 2016 15:41:18 GMT (100kb,D)

Title: Holographic Software for Quantum Networks
Authors: Arthur Jaffe, Zhengwei Liu, and Alex Wozniakowski
Categories: quant-ph hep-th math-ph math.MP
\\
We introduce diagrammatic protocols and holographic software for quantum
information. We give a dictionary to translate between diagrammatic
protocols
and the usual algebraic protocols. In particular we describe the intuitive
diagrammatic protocol for teleportation. We introduce the string Fourier
transform $\mathfrak{F}_{s}$ in quantum information, which gives a
topological
quantum computer. We explain why the string Fourier transform maps the zero
particle state to the multiple-qudit resource state, which maximizes the
entanglement entropy. We give a protocol to construct this $n$-qudit
resource
state $|Max \rangle$, which uses minimal cost. We study Pauli $X,Y,Z$
matrices,
and their relation with diagrammatic protocols. This work provides bridges
between the new theory of planar para algebras and quantum information,
especially in questions involving communication in quantum networks.
\\ ( https://arxiv.org/abs/1605.00127 , 100kb)
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\\
arXiv:1605.00222 (*cross-listing*)
Date: Sun, 1 May 2016 08:54:48 GMT (77kb,D)

Title: Two-particle atomic coalescences: Boundary conditions for the Fock
coefficient components
Authors: Evgeny Z. Liverts
Categories: physics.atom-ph math-ph math.MP physics.comp-ph
Comments: 26 pages, 2 figures
\\
The exact values of the presently determined components 26of the angular
Fock
coefficients at the two-particle coalescences were obtained and
systematized.
The Green Function approach was successfully applied to simplify the most
complicated calculations. The boundary conditions for the Fock coefficient
components in the hyperspherical angular coordinates, which follows from the
Kato cusp conditions for the two-electron wave function in the natural
interparticle coordinates, were derived. The validity of the obtained
boundary
conditions was verified on examples of all the presently determined
components.
The additional boundary conditions are not arising from the Kato cusp
conditions were obtained as well. The Wolfram Mathematica was used
intensively.
\\ ( https://arxiv.org/abs/1605.00222 , 77kb)
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\\
arXiv:1605.00231 (*cross-listing*)
Date: Sun, 1 May 2016 10:18:22 GMT (23kb)

Title: Conformal and projective symmetries in Newtonian cosmology
Authors: Christian Duval (CPT), Gary Gibbons (DAMTP/CMS), Peter Horvathy
Categories: gr-qc hep-th math-ph math.MP
Comments: LaTeX, 25 pages
\\
Definitions of non-relativistic conformal transformations are considered
both
in the Newton-Cartan and in the Kaluza-Klein-type Eisenhart/Bargmann
geometrical frameworks. The symmetry groups that come into play are
exemplified
by the cosmological, and also the Newton-Hooke solutions of Newton's
gravitational field equations. It is shown, in particular, that the maximal
symmetry group of the standard cosmological model is isomorphic to the
13-dimensional conformal-Newton-Cartan group whose conformal-Bargmann
extension
is explicitly worked out. Attention is drawn to the appearance of
independent
space and time dilations, it contrast with the Schr{\"o}dinger group or the
Conformal Galilei Algebra.
\\ ( https://arxiv.org/abs/1605.00231 , 23kb)
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\\
arXiv:1605.00321 (*cross-listing*)
Date: Sun, 1 May 2016 23:34:38 GMT (64kb,D)

Title: Compressed Teleportation
Authors: Arthur Jaffe, Zhengwei Liu, and Alex Wozniakowski
Categories: quant-ph hep-th math-ph math.MP
Comments: 3 pages
\\
In a previous paper we introduced holographic software for quantum
networks,
inspired by work on planar para algebras. This software suggests the
definition
of a compressed transformation. Here we utilize the software to find a CT
protocol to teleport compressed transformations. This protocol serves
multiple
parties with multiple persons.
\\ ( https://arxiv.org/abs/1605.00321 , 64kb)
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\\
arXiv:1605.00326 (*cross-listing*)
Date: Mon, 2 May 2016 00:17:13 GMT (22kb)

Title: Brans-Dicke Galileon and the Variational Principle
Authors: Israel Quiros, Ricardo Garc\'ia-Salcedo, Tame Gonzalez, F. Antonio
Horta-Rangel, Joel Saavedra
Categories: gr-qc math-ph math.MP
Comments: 20 pages, no figures. The content of this paper is specially
recommended to those graduate and postgraduate students who are
interested in
the study of modifications of general relativity such as scalar-tensor and
$f(R)$ theories
\\
This paper is aimed at a (mostly) pedagogical exposition of the
derivation of
the motion equations of certain modifications of general relativity. Here we
derive in all detail the motion equations in the Brans-Dicke theory with the
cubic self-interaction. This is a modification of the Brans-dicke theory by
the
addition of a term in the Lagrangian which is non-linear in the derivatives
of
the scalar field: it contains second-order derivatives. This is the basis of
the so-called Brans-Dicke Galileon. We pay special attention to the
variational
principle and to the algebraic details of the derivation. It is shown how
higher order derivatives of the fields appearing in the intermediate
computations cancel out leading to second order motion equations. The reader
will find useful tips for the derivation of the field equations of
modifications of general relativity such as the scalar-tensor theories and
$f(R)$ theories, by means of the (stationary action) variational principle.
The
content of this paper is specially recommended to those graduate and
postgraduate students who are interested in the study of the mentioned
modifications of general relativity.
\\ ( https://arxiv.org/abs/1605.00326 , 22kb)
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\\
arXiv:1605.00441 (*cross-listing*)
Date: Mon, 2 May 2016 11:42:13 GMT (819kb,D)

Title: Gaussian States Minimize the Output Entropy of the One-Mode Quantum
Attenuator
Authors: Giacomo De Palma, Dario Trevisan and Vittorio Giovannetti
Categories: quant-ph cs.IT math-ph math.IT math.MP math.PR
\\
We prove that Gaussian thermal input states minimize the output von
Neumann
entropy of the one-mode Gaussian quantum-limited attenuator for fixed input
entropy. The Gaussian quantum-limited attenuator models the attenuation of
an
electromagnetic signal in the quantum regime. The Shannon entropy of an
attenuated real-valued classical signal is a simple function of the entropy
of
the original signal. A striking consequence of energy quantization is that
the
output von Neumann entropy of the quantum-limited attenuator is no more a
function of the input entropy alone. The proof starts from the majorization
result of De Palma et al., IEEE Trans. Inf. Theory 62, 2895 (2016), and is
based on a new isoperimetric inequality. Our result implies that geometric
input probability distributions minimize the output Shannon entropy of the
thinning for fixed input entropy. Moreover, our result opens the way to the
multimode generalization, that permits to determine both the triple
trade-off
region of the Gaussian quantum-limited attenuator and the classical capacity
region of the Gaussian degraded quantum broadcast channel.
\\ ( https://arxiv.org/abs/1605.00441 , 819kb)
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\\
arXiv:1605.00597 (*cross-listing*)
Date: Mon, 2 May 2016 18:14:59 GMT (948kb,D)

Title: Quasi-Long-Range Order in Trapped 2D Bose Gases
Authors: Igor Boettcher, Markus Holzmann
Categories: cond-mat.quant-gas cond-mat.stat-mech hep-ph math-ph math.MP
Comments: 6 pages + supplemental material
\\
We study the fate of algebraic decay of correlations in a harmonically
trapped two-dimensional degenerate Bose gas. The analysis is inspired by
recent
experiments on ultracold atoms where power-law correlations have been
observed
despite the presence of the external potential. We generalize the spin wave
description of phase fluctuations to the trapped case and obtain an
analytical
expression for the one-body density matrix within this approximation. We
show
that algebraic decay of the central correlation function persists to
lengths of
about 20% of the Thomas--Fermi radius. We establish that the trap-averaged
correlation function decays algebraically with a strictly larger exponent
weakly changing with trap size and find indications that the recently
observed
enhanced scaling exponents receive significant contributions from the normal
component of the gas. We discuss radial and angular correlations and
propose a
local correlation approximation which captures the correlations very well.
Our
analysis goes beyond the usual local density approximation and the developed
summation techniques constitute a powerful tool to investigate correlations
in
inhomogeneous systems.
\\ ( https://arxiv.org/abs/1605.00597 , 948kb)
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\\
arXiv:1605.00492 (*cross-listing*)
Date: Mon, 2 May 2016 14:06:24 GMT (506kb,D)

Title: High level implementation of geometric multigrid solvers for finite
element problems: applications in atmospheric modelling
Authors: Lawrence Mitchell and Eike Hermann M\"uller
Categories: cs.MS math.NA physics.flu-dyn
Comments: 21 pages, 5 figures, 8 tables. Submitted to JCP
MSC-class: 65F08, 65N55, 76M10, 86A10
ACM-class: D.2.2; G.1.3; G.1.8; G.4; J.2
\\
The implementation of efficient multigrid preconditioners for elliptic
partial differential equations (PDEs) is a challenge due to the complexity
of
the resulting algorithms and corresponding computer code. For sophisticated
finite element discretisations on unstructured grids an efficient
implementation can be very time consuming and requires the programmer to
have
in-depth knowledge of the mathematical theory, parallel computing and
optimisation techniques on manycore CPUs. In this paper we show how the
development of bespoke multigrid preconditioners can be simplified
significantly by using a framework which allows the expression of the each
component of the algorithm at the correct abstraction level. Our approach
(1)
allows the expression of the finite element problem in a language which is
close to the mathematical formulation of the problem, (2) guarantees the
automatic generation and efficient execution of parallel optimised low-level
computer code and (3) is flexible enough to support different abstraction
levels and give the programmer control over details of the preconditioner.
We
use the composable abstractions of the Firedrake/PyOP2 package to
demonstrate
the efficiency of this approach for the solution of strongly anisotropic
PDEs
in atmospheric modelling. The weak formulation of the PDE is expressed in
Unified Form Language (UFL) and the lower PyOP2 abstraction layer allows the
manual design of computational kernels for a bespoke geometric multigrid
preconditioner. We compare the performance of this preconditioner to a
single-level method and hypre's BoomerAMG algorithm. The Firedrake/PyOP2
code
is inherently parallel and we present a detailled performance analysis for a
single node (24 cores) on the ARCHER supercomputer. Our implementation
utilises
a significant fraction of the available memory bandwidth and shows very good
weak scaling on up to 6,144 compute cores.
\\ ( https://arxiv.org/abs/1605.00492 , 506kb)
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\\
arXiv:1605.00609 (*cross-listing*)
Date: Mon, 2 May 2016 18:32:19 GMT (283kb,D)

Title: Algorithms for Learning Sparse Additive Models with Interactions in
High
Dimensions
Authors: Hemant Tyagi, Anastasios Kyrillidis, Bernd G\"artner, Andreas
Krause
Categories: cs.LG cs.IT math.IT math.NA stat.ML
Comments: 45 pages, 6 figures, preliminary version of this paper to appear
in
proceedings of AISTATS 2016 (available here: arxiv.org/abs/1604.05307).
arXiv
admin note: text overlap with arXiv:1604.05307
\\
A function $f: \mathbb{R}^d \rightarrow \mathbb{R}$ is a Sparse Additive
Model (SPAM), if it is of the form $f(\mathbf{x}) = \sum_{l \in
\mathcal{S}}\phi_{l}(x_l)$ where $\mathcal{S} \subset [d]$, $|\mathcal{S}|
\ll
d$. Assuming $\phi$'s, $\mathcal{S}$ to be unknown, there exists extensive
work
for estimating $f$ from its samples. In this work, we consider a generalized
version of SPAMs, that also allows for the presence of a sparse number of
second order interaction terms. For some $\mathcal{S}_1 \subset [d],
\mathcal{S}_2 \subset {[d] \choose 2}$, with $|\mathcal{S}_1| \ll d,
|\mathcal{S}_2| \ll d^2$, the function $f$ is now assumed to be of the form:
$\sum_{p \in \mathcal{S}_1}\phi_{p} (x_p) + \sum_{(l,l^{\prime}) \in
\mathcal{S}_2}\phi_{(l,l^{\prime})} (x_l,x_{l^{\prime}})$. Assuming we have
the
freedom to query $f$ anywhere in its domain, we derive efficient algorithms
that provably recover $\mathcal{S}_1,\mathcal{S}_2$ with finite sample
bounds.
Our analysis covers the noiseless setting where exact samples of $f$ are
obtained, and also extends to the noisy setting where the queries are
corrupted
with noise. For the noisy setting in particular, we consider two noise
models
namely: i.i.d Gaussian noise and arbitrary but bounded noise. Our main
methods
for identification of $\mathcal{S}_2$ essentially rely on estimation of
sparse
Hessian matrices, for which we provide two novel compressed sensing based
schemes. Once $\mathcal{S}_1, \mathcal{S}_2$ are known, we show how the
individual components $\phi_p$, $\phi_{(l,l^{\prime})}$ can be estimated via
additional queries of $f$, with uniform error bounds. Lastly, we provide
simulation results on synthetic data that validate our theoretical findings.
\\ ( https://arxiv.org/abs/1605.00609 , 283kb)
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\\
arXiv:1605.00092 (*cross-listing*)
Date: Sat, 30 Apr 2016 11:04:12 GMT (7kb)

Title: Discriminators and k-Regular Sequences
Authors: Sajed Haque and Jeffrey Shallit
Categories: cs.DM cs.FL math.NT
\\
The discriminator of an integer sequence s = (s(i))_{i >=1}, introduced by
Arnold, Benkoski, and McCabe in 1985, is the map D_s(n) that sends n to the
least integer m such that the numbers s(0), s(1),... , s(n-1) are pairwise
incongruent modulo m. In this note we consider the discriminators of a
certain
class of sequences, the k-regular sequences. We compute the discriminators
of
two such sequences, the so-called "evil" and "odious" numbers, and show they
are 2-regular. We also give an example of a k-regular sequence whose
discriminator is not k-regular.
\\ ( https://arxiv.org/abs/1605.00092 , 7kb)
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\\
arXiv:1605.00322 (*cross-listing*)
Date: Sun, 1 May 2016 23:36:48 GMT (95kb)

Title: Adaptive Modulation in Network-coded Two-way Relay Channel: A
Supermodular Game Approach
Authors: Ni Ding, Parastoo Sadeghi and Rodney A. Kennedy
Categories: cs.IT cs.SY math.IT math.OC
Comments: 10 figures
\\
We study the adaptive modulation (AM) problem in a network-coded two-way
relay channel (NC-TWRC), where each of the two users controls its own bit
rate
in the $m$-ary quadrature amplitude modulation ($m$-QAM) to minimize the
transmission error rate and enhance the spectral efficiency. We show that
there
exists a strategic complementarity, one user tends to transmit while the
other
decides to do so in order to enhance the overall spectral efficiency, which
is
beyond the scope of the conventional single-agent AM scheduling method. We
propose a two-player game model parameterized by the signal-to-noise ratios
(SNRs) of two user-to-user channels and prove that it is a supermodular game
where there always exist the extremal pure strategy Nash equilibria (PSNEs),
the largest and smallest PSNEs. We show by simulation results that the
extremal
PSNEs incur a similar bit error rate (BER) as the conventional single-agent
AM
scheme, but significantly improve the spectral efficiency in the NC-TWRC
system. The study also reveals the Pareto order of the extremal PSNEs: The
largest and smallest PSNEs are Pareto worst and best PSNEs, respectively.
Finally, we derive the sufficient conditions for the extremal PSNEs to be
symmetric and monotonic in channel SNRs. We also discuss how to utilize the
symmetry and monotonicity to relieve the complexity in the PSNE learning
process.
\\ ( https://arxiv.org/abs/1605.00322 , 95kb)
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\\
arXiv:1605.00086 (*cross-listing*)
Date: Sat, 30 Apr 2016 09:35:18 GMT (436kb)

Title: Fractional Brownian motion time-changed by gamma and inverse gamma
process
Authors: A. Kumar, A. Wy{\l}oma\'nska, R. Po{\l}ocza\'nski, S. Sundar
Categories: physics.data-an math.PR
\\
Many real time-series exhibit behavior adequate to long range dependent
data.
Additionally very often these time-series have constant time periods and
also
have characteristics similar to Gaussian processes although they are not
Gaussian. Therefore there is need to consider new classes of systems to
model
these kind of empirical behavior. Motivated by this fact in this paper we
analyze two processes which exhibit long range dependence property and have
additional interesting characteristics which may be observed in real
phenomena.
Both of them are constructed as the superposition of fractional Brownian
motion
(FBM) and other process. In the first case the internal process, which plays
role of the time, is the gamma process while in the second case the internal
process is its inverse. We present in detail their main properties paying
main
attention to the long range dependence property. Moreover, we show how to
simulate these processes and estimate their parameters. We propose to use a
novel method based on rescaled modified cumulative distribution function for
estimation of parameters of the second considered process. This method is
very
useful in description of rounded data, like waiting times of subordinated
processes delayed by inverse subordinators. By using the Monte Carlo method
we
show the effectiveness of proposed estimation procedures.
\\ ( https://arxiv.org/abs/1605.00086 , 436kb)
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\\
arXiv:1605.00155 (*cross-listing*)
Date: Sat, 30 Apr 2016 19:49:20 GMT (313kb,D)

Title: Kernel Balancing: A flexible non-parametric weighting procedure for
estimating causal effects
Authors: Chad Hazlett
Categories: stat.ME math.ST stat.AP stat.ML stat.TH
Comments: Work originally included in PhD Thesis, May 2014, MIT
\\
In the absence of unobserved confounders, matching and weighting methods
are
widely used to estimate causal quantities including the Average Treatment
Effect on the Treated (ATT). Unfortunately, these methods do not necessarily
achieve their goal of making the multivariate distribution of covariates for
the control group identical to that of the treated, leaving some
(potentially
multivariate) functions of the covariates with different means between the
two
groups. When these "imbalanced" functions influence the non-treatment
potential
outcome, the conditioning on observed covariates fails, and ATT estimates
may
be biased. Kernel balancing, introduced here, targets a weaker requirement
for
unbiased ATT estimation, specifically, that the expected non-treatment
potential outcome for the treatment and control groups are equal. The
conditional expectation of the non-treatment potential outcome is assumed to
fall in the space of functions associated with a choice of kernel, implying
a
set of basis functions in which this regression surface is linear. Weights
are
then chosen on the control units such that the treated and control group
have
equal means on these basis functions. As a result, the expectation of the
non-treatment potential outcome must also be equal for the treated and
control
groups after weighting, allowing unbiased ATT estimation by subsequent
difference in means or an outcome model using these weights. Moreover, the
weights produced are (1) precisely those that equalize a particular
kernel-based approximation of the multivariate distribution of covariates
for
the treated and control, and (2) equivalent to a form of stabilized inverse
propensity score weighting, though it does not require assuming any model of
the treatment assignment mechanism. An R package, KBAL, is provided to
implement this approach.
\\ ( https://arxiv.org/abs/1605.00155 , 313kb)
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\\
arXiv:1605.00414 (*cross-listing*)
Date: Mon, 2 May 2016 10:03:00 GMT (12kb)

Title: On sampling theorem with sparse decimated samples
Authors: Nikolai Dokuchaev
Categories: cs.IT math.IT math.ST stat.TH
Comments: arXiv admin note: text overlap with arXiv:1603.04174
MSC-class: 42A38, 93E10, 562M15, 42B30
\\
The classical sampling Nyquist-Shannon-Kotelnikov theorem states that a
band-limited continuous time function is uniquely defined by infinite
two-sided
sampling series taken with a sufficient frequency. The paper shows that
these
band-limited functions allows an arbitrarily close uniform approximation by
functions that are uniquely defined by their extremely sparse subsamples
representing arbitrarily small fractions of one-sided equidistant sample
series
with fixed oversampling parameter. In particular, an arbitrarily small
adjustment of a band-limited underlying function makes redundant every (m-1)
members of any set of m samples for an arbitrarily large m. This allows to
bypass, in a certain sense, the restriction on the sampling rate defined by
the
critical Nyquist rate.
\\ ( https://arxiv.org/abs/1605.00414 , 12kb)
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\\
arXiv:1605.00499 (*cross-listing*)
Date: Mon, 2 May 2016 14:18:33 GMT (1133kb,D)

Title: MCMC Confidence Sets for Identified Sets
Authors: Xiaohong Chen, Timothy Christensen and Elie Tamer
Categories: stat.ME math.ST stat.TH
\\
In complicated/nonlinear parametric models, it is hard to determine
whether a
parameter of interest is formally point identified. We provide
computationally
attractive procedures to construct confidence sets (CSs) for identified
sets of
parameters in econometric models defined through a likelihood or a vector of
moments. The CSs for the identified set or for a function of the identified
set
(such as a subvector) are based on inverting an optimal sample criterion
(such
as likelihood or continuously updated GMM), where the cutoff values are
computed directly from Markov Chain Monte Carlo (MCMC) simulations of a
quasi
posterior distribution of the criterion. We establish new Bernstein-von
Mises
type theorems for the posterior distributions of the quasi-likelihood ratio
(QLR) and profile QLR statistics in partially identified models, allowing
for
singularities. These results imply that the MCMC criterion-based CSs have
correct frequentist coverage for the identified set as the sample size
increases, and that they coincide with Bayesian credible sets based on
inverting a LR statistic for point-identified likelihood models. We also
show
that our MCMC optimal criterion-based CSs are uniformly valid over a class
of
data generating processes that include both partially- and point- identified
models. We demonstrate good finite sample coverage properties of our
proposed
methods in four non-trivial simulation experiments: missing data, entry game
with correlated payoff shocks, Euler equation and finite mixture models.
\\ ( https://arxiv.org/abs/1605.00499 , 1133kb)
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arXiv:1302.1124
replaced with revised version Sat, 30 Apr 2016 10:54:55 GMT (15kb)

Title: On the upper semi-continuity of HSL numbers
Authors: Serena Murru
Categories: math.AC
\\ ( https://arxiv.org/abs/1302.1124 , 15kb)
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\\
arXiv:1503.08496
replaced with revised version Mon, 2 May 2016 03:24:37 GMT (16kb)

Title: The Realization Problem for Delta Sets of Numerical Semigroups
Authors: Stefan Colton, Nathan Kaplan
Categories: math.AC math.CO
Comments: 13 pages
MSC-class: 20M14, 20M13, 11B75
\\ ( https://arxiv.org/abs/1503.08496 , 16kb)
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\\
arXiv:1511.06473
replaced with revised version Fri, 29 Apr 2016 20:44:04 GMT (20kb)

Title: Perinormality in pullbacks
Authors: Neil Epstein and Jay Shapiro
Categories: math.AC
Comments: Major revision. Due to an error in the main theorem of section 3
in
version 1, we have reworked the notion of fragility into three potentially
separate notions. There are several related new localization results.
Several
other things in the paper have changed a bit, most notably Corollary 2.6
(also now corrected). 18 pages, comments welcome
MSC-class: 13B21, 13F05, 13F45
\\ ( https://arxiv.org/abs/1511.06473 , 20kb)
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\\
arXiv:1411.1766
replaced with revised version Sat, 30 Apr 2016 15:12:25 GMT (29kb)

Title: Gauss-Manin connection in disguise: Noether-Lefschetz and Hodge loci
Authors: Hossein Movasati
Categories: math.AG math.AT math.CV
Comments: To appear in Asian Journal of Mathematics
\\ ( https://arxiv.org/abs/1411.1766 , 29kb)
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\\
arXiv:1507.04582
replaced with revised version Mon, 2 May 2016 08:33:47 GMT (18kb)

Title: On rational fixed points of finite group actions on the affine space
Authors: Olivier Haution
Categories: math.AG
\\ ( https://arxiv.org/abs/1507.04582 , 18kb)
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\\
arXiv:1508.02456
replaced with revised version Sat, 30 Apr 2016 10:36:35 GMT (38kb)

Title: Foliations with positive slopes and birational stability of orbifold
cotangent bundles
Authors: Frederic Campana, Mihai Paun
Categories: math.AG
Comments: No significant changes
\\ ( https://arxiv.org/abs/1508.02456 , 38kb)
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\\
arXiv:1510.08222
replaced with revised version Sat, 30 Apr 2016 04:07:15 GMT (19kb)

Title: The algebraic de Rham cohomology of representation varieties
Authors: Eugene Z. Xia
Categories: math.AG
Comments: Minor stylistic revision from version 1, 21 pages
MSC-class: 13D03, 14F40, 14L24, 14Q10, 14R20
\\ ( https://arxiv.org/abs/1510.08222 , 19kb)
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\\
arXiv:1512.06717
replaced with revised version Mon, 2 May 2016 09:51:55 GMT (11kb)

Title: Worst Unstable Points of a Hilbert Scheme
Authors: Cheolgyu Lee
Categories: math.AG
Comments: -Revised the description of a result of [1] in page 3. Results not
changed. -Corrected a typo in page 7. -Added assumption on P in Theorem
5.4,
which was omitted in the previous version
\\ ( https://arxiv.org/abs/1512.06717 , 11kb)
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\\
arXiv:1603.01748
replaced with revised version Sat, 30 Apr 2016 10:33:59 GMT (37kb)

Title: Orbifold Slope Rational-Connectedness
Authors: Frederic Campana, Mihai Paun
Categories: math.AG
Comments: no changes
\\ ( https://arxiv.org/abs/1603.01748 , 37kb)
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\\
arXiv:1603.03411
replaced with revised version Sat, 30 Apr 2016 22:50:38 GMT (31kb)

Title: Modified mixed realizations, new additive invariants, and periods of
dg
categories
Authors: Goncalo Tabuada
Categories: math.AG math.AC math.AT math.KT math.RT
Comments: 22 pages
MSC-class: 14A22, 14C15, 14F10, 16D30, 18E30
\\ ( https://arxiv.org/abs/1603.03411 , 31kb)
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\\
arXiv:1603.09569
replaced with revised version Mon, 2 May 2016 02:41:15 GMT (18kb)

Title: On Jacobi Inversion Formulae for Telescopic Curves
Authors: Takanori Ayano
Categories: math.AG
Comments: 25 pages
MSC-class: 14H42, 14H50, 14H55, 14H70, 14K20, 14K25
\\ ( https://arxiv.org/abs/1603.09569 , 18kb)
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\\
arXiv:1604.08417
replaced with revised version Mon, 2 May 2016 13:39:02 GMT (14kb,D)

Title: Stable rationality of cyclic covers of projective spaces
Authors: Takuzo Okada
Categories: math.AG
Comments: 12 pages, some typos and misleading explanations fixed
\\ ( https://arxiv.org/abs/1604.08417 , 14kb)
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\\
arXiv:1402.2193
replaced with revised version Fri, 29 Apr 2016 21:55:51 GMT (22kb)

Title: On the Schr\"odinger equations with isotropic and anisotropic
fourth-order dispersion
Authors: Carlos Banquet and Elder J. Villamizar-Roa
Categories: math.AP
MSC-class: 35Q55, 35A01, 35A02, 35C06
\\ ( https://arxiv.org/abs/1402.2193 , 22kb)
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\\
arXiv:1411.6141
replaced with revised version Sun, 1 May 2016 14:00:06 GMT (23kb)

Title: On the interpolation with the potential bound for global solutions of
the defocusing cubic wave equation on T2
Authors: Tristan Roy
Categories: math.AP
Comments: 24 pages. To appear
\\ ( https://arxiv.org/abs/1411.6141 , 23kb)
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\\
arXiv:1503.08962
replaced with revised version Sun, 1 May 2016 14:02:58 GMT (14kb)

Title: BKM's criterion for the 3D nematic liquid crystal flows via two
velocity
components and molecular orientations
Authors: Jihong Zhao
Categories: math.AP
Comments: 16pages
\\ ( https://arxiv.org/abs/1503.08962 , 14kb)
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\\
arXiv:1506.07660
replaced with revised version Mon, 2 May 2016 09:54:26 GMT (3131kb,D)

Title: Uncertainty quantification for hyperbolic conservation laws with flux
coefficients given by spatiotemporal random fields
Authors: Andrea Barth, Franz Georg Fuchs
Categories: math.AP
MSC-class: 35L40, 35L65, 65C05, 65C30, 65M08
\\ ( https://arxiv.org/abs/1506.07660 , 3131kb)
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\\
arXiv:1507.05885
replaced with revised version Mon, 2 May 2016 15:12:41 GMT (18kb)

Title: Regularity criterion for the 3D Hall-magneto-hydrodynamics
Authors: Mimi Dai
Categories: math.AP
Comments: Typos fixed
MSC-class: 76D03, 35Q35
Journal-ref: Journal of Differential Equations, 261 (2016), pp. 573--591
\\ ( https://arxiv.org/abs/1507.05885 , 18kb)
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\\
arXiv:1508.01362
replaced with revised version Mon, 2 May 2016 13:41:00 GMT (48kb,D)

Title: Convex integration for the Monge-Amp\`ere equation in two dimensions
Authors: Marta Lewicka and Mohammad Reza Pakzad
Categories: math.AP math-ph math.DG math.MP
Comments: 30 pages, 1 figure
MSC-class: 35D30
\\ ( https://arxiv.org/abs/1508.01362 , 48kb)
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\\
arXiv:1509.04917
replaced with revised version Sun, 1 May 2016 10:43:58 GMT (261kb,D)

Title: Mathematical analysis of a coarsening model with local interactions
Authors: Michael Helmers, Barbara Niethammer and Juan J. L. Velazquez
Categories: math.AP
Comments: Extended non-uniqueness section
\\ ( https://arxiv.org/abs/1509.04917 , 261kb)
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\\
arXiv:1511.08935
replaced with revised version Sat, 30 Apr 2016 10:51:04 GMT (46kb)

Title: Oblique boundary value problems for augmented Hessian equations I
Authors: Feida Jiang and Neil S. Trudinger
Categories: math.AP
Comments: This version contains an extension of the tangential second
derivative bounds, Lemma 2.3, in the nonlinear boundary condition case
MSC-class: 35J66 (Primary) 35J25, 35J96 (Secondary)
\\ ( https://arxiv.org/abs/1511.08935 , 46kb)
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\\
arXiv:1603.06237
replaced with revised version Sat, 30 Apr 2016 16:21:42 GMT (1349kb,D)

Title: On the Hughes Model and Numerical Aspects
Authors: Diogo A. Gomes, Roberto M. Velho
Categories: math.AP math.OC
Comments: 12 pages, 17 figures
\\ ( https://arxiv.org/abs/1603.06237 , 1349kb)
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\\
arXiv:1604.00826
replaced with revised version Mon, 2 May 2016 07:06:18 GMT (20kb)

Title: On the Brezis-Nirenberg type critical problem for nonlinear Choquard
equation
Authors: Fashun Gao, Minbo Yang
Categories: math.AP
Comments: 30
MSC-class: 35J25, 35J65
\\ ( https://arxiv.org/abs/1604.00826 , 20kb)
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\\
arXiv:1604.03653
replaced with revised version Mon, 2 May 2016 06:32:51 GMT (21kb)

Title: Regularity of stationary solutions to the linearized Boltzmann
equations
Authors: I-Kun Chen
Categories: math.AP
Comments: 23 pages, add references, clarify writing
\\ ( https://arxiv.org/abs/1604.03653 , 21kb)
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\\
arXiv:1604.07945
replaced with revised version Mon, 2 May 2016 03:26:32 GMT (10kb)

Title: Instability of solitary waves for a generalized derivative nonlinear
Schr\"odinger equation in a borderline case
Authors: Noriyoshi Fukaya
Categories: math.AP
Comments: 16 pages
\\ ( https://arxiv.org/abs/1604.07945 , 10kb)
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\\
arXiv:1604.01478
replaced with revised version Fri, 29 Apr 2016 10:22:52 GMT (14kb)

Title: Higher order Whitehead products and $L_\infty$ structures on the
homology of a DGL
Authors: Francisco Belch\'i, Urtzi Buijs, Jos\'e M. Moreno-Fern\'andez and
Aniceto Murillo
Categories: math.AT
Comments: New references and minor corrections
\\ ( https://arxiv.org/abs/1604.01478 , 14kb)
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\\
arXiv:1311.3681
replaced with revised version Sat, 30 Apr 2016 07:23:27 GMT (148kb,D)

Title: Induced Matchings and the Algebraic Stability of Persistence Barcodes
Authors: Ulrich Bauer, Michael Lesnick
Categories: math.AT cs.CG math.AC
Comments: Expanded journal version, to appear in Journal of Computational
Geometry. Includes a proof that no definition of induced matching can be
fully functorial (Proposition 5.10), and an extension of our
single-morphism
characterization of the interleaving relation to multidimensional
persistence
modules (Remark 6.7). Exposition is improved throughout. 11 Figures added
MSC-class: 13P20, 55U99
Journal-ref: Journal of Computational Geometry 6:2 (2015), 162-191
\\ ( https://arxiv.org/abs/1311.3681 , 148kb)
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\\
arXiv:1502.06695
replaced with revised version Sat, 30 Apr 2016 01:47:13 GMT (30kb)

Title: Hermite-Pade approximation, isomonodromic deformation and
hypergeometric
integral
Authors: Toshiyuki Mano and Teruhisa Tsuda
Categories: math.CA nlin.SI
Comments: 35pages
\\ ( https://arxiv.org/abs/1502.06695 , 30kb)
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\\
arXiv:1505.01653
replaced with revised version Mon, 2 May 2016 16:52:37 GMT (22kb,D)

Title: Potential and Sobolev Spaces Related to Symmetrized Jacobi Expansions
Authors: Bartosz Langowski
Categories: math.CA
MSC-class: 42C10 (Primary), 42C05, 42C20 (Secondary)
Journal-ref: SIGMA 11 (2015), 073, 17 pages
DOI: 10.3842/SIGMA.2015.073
\\ ( https://arxiv.org/abs/1505.01653 , 22kb)
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\\
arXiv:1510.06990
replaced with revised version Mon, 2 May 2016 19:37:31 GMT (116kb)

Title: Multilinear singular integral forms of Christ-Journ\'e type
Authors: Andreas Seeger, Charles K. Smart, Brian Street
Categories: math.CA math.AP
Comments: To appear in Memoirs of the AMS
MSC-class: 42B20
\\ ( https://arxiv.org/abs/1510.06990 , 116kb)
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\\
arXiv:1512.06918
replaced with revised version Sat, 30 Apr 2016 16:50:40 GMT (27kb)

Title: A Discrete Quadratic Carleson Theorem on $ \ell ^2 $ with a
Restricted
Supremum
Authors: Ben Krause and Michael Lacey
Categories: math.CA
Comments: 24 pages. Updated with referee suggestions. To appear in IMRN
\\ ( https://arxiv.org/abs/1512.06918 , 27kb)
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\\
arXiv:1604.06343
replaced with revised version Mon, 2 May 2016 10:23:59 GMT (28kb)

Title: The one-phase problem for harmonic measure in two-sided NTA domains
Authors: Jonas Azzam, Mihalis Mourgoglou, and Xavier Tolsa
Categories: math.CA math.AP
Comments: In this version we have corrected minor typos, and also we have
cited
correctly some previous work by Kenig and Toro, of which we were not aware
before
MSC-class: 31B25, 31A15, 31B15, 35R35
\\ ( https://arxiv.org/abs/1604.06343 , 28kb)
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\\
arXiv:1604.07909
replaced with revised version Sun, 1 May 2016 16:33:10 GMT (28kb)

Title: On the roots of a hyperbolic polynomial pencil
Authors: Victor Katsnelson
Categories: math.CA
Comments: 9 pages
MSC-class: 11C99, 26C10, 26C15, 15A22, 42A82
\\ ( https://arxiv.org/abs/1604.07909 , 28kb)
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\\
arXiv:0804.0006
replaced with revised version Sat, 30 Apr 2016 21:12:50 GMT (14kb)

Title: Embedding in a perfect code
Authors: Sergey Avgustinovich (Sobolev Institute of Mathematics,
Novosibirsk,
Russia), Denis Krotov (Sobolev Institute of Mathematics, Novosibirsk,
Russia)
Categories: math.CO cs.IT math.IT
Comments: Eng: 5pp, Rus: 5pp. V3: revised, a survey added; the accepted
version; Russian translation added
MSC-class: 94B25, 05A16
Journal-ref: J. Comb. Des. 17(5) 2009, 419-423
DOI: 10.1002/jcd.20207
\\ ( https://arxiv.org/abs/0804.0006 , 14kb)
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\\
arXiv:1305.1451
replaced with revised version Mon, 2 May 2016 10:43:31 GMT (24kb)

Title: Explicit bounds for graph minors
Authors: Jim Geelen, Tony Huynh, and R. Bruce Richter
Categories: math.CO
Comments: 24 pages, 0 figures
MSC-class: 05C83
\\ ( https://arxiv.org/abs/1305.1451 , 24kb)
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\\
arXiv:1406.5943
replaced with revised version Sat, 30 Apr 2016 20:10:24 GMT (69kb,D)

Title: The Moser-Tardos Framework with Partial Resampling
Authors: David G. Harris and Aravind Srinivasan
Categories: math.CO cs.DS
\\ ( https://arxiv.org/abs/1406.5943 , 69kb)
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\\
arXiv:1407.8498
replaced with revised version Sun, 1 May 2016 22:05:14 GMT (15kb)

Title: Intersections of the Hermitian Surface with irreducible Quadrics in
even
Characteristic
Authors: Angela Aguglia and Luca Giuzzi
Categories: math.CO cs.DM math.AG
Comments: 20 pages; extensively revised and corrected version. This paper
extends the results of arXiv:1307.8386 to the case q even
MSC-class: 05B25, 51D20, 51E20
\\ ( https://arxiv.org/abs/1407.8498 , 15kb)
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\\
arXiv:1410.7834
replaced with revised version Sun, 1 May 2016 10:35:16 GMT (16kb)

Title: Friedgut--Kalai--Naor theorem for slices of the Boolean cube
Authors: Yuval Filmus
Categories: math.CO
Comments: 15 pages
\\ ( https://arxiv.org/abs/1410.7834 , 16kb)
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\\
arXiv:1503.02779
replaced with revised version Sat, 30 Apr 2016 01:02:55 GMT (48kb)

Title: On metric properties of maps between Hamming spaces and related graph
homomorphisms
Authors: Yury Polyanskiy
Categories: math.CO cs.IT math.IT
MSC-class: 05B40, 11H71, 52C35
\\ ( https://arxiv.org/abs/1503.02779 , 48kb)
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arXiv:1506.00467
replaced with revised version Mon, 2 May 2016 07:49:31 GMT (9kb)

Title: Ehrhart polynomials with negative coefficients
Authors: Takayuki Hibi, Akihiro Higashitani, Akiyoshi Tsuchiya and Koutarou
Yoshida
Categories: math.CO
Comments: 9 pages
MSC-class: 52B20 (Primary), 52B11 (Secondary)
\\ ( https://arxiv.org/abs/1506.00467 , 9kb)
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\\
arXiv:1508.02596
replaced with revised version Mon, 2 May 2016 16:24:08 GMT (6kb)

Title: A revised Moore bound for mixed graphs
Authors: Dominique Buset and Mourad El Amiri and Grahame Erskine and Hebert
P\'erez-Ros\'es and Mirka Miller
Categories: math.CO
Comments: 5 pages, 2 figures; amended to remove unnecessary tables
MSC-class: 05C35
Journal-ref: Discrete Mathematics, Volume 339, Issue 8, Pages 2066--2069
DOI: 10.1016/j.disc.2016.03.005
\\ ( https://arxiv.org/abs/1508.02596 , 6kb)
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arXiv:1508.05310
replaced with revised version Mon, 2 May 2016 14:10:58 GMT (95kb,D)

Title: Snow Leopard Permutations and Their Even and Odd Threads
Authors: Eric S. Egge and Kailee Rubin
Categories: math.CO
Comments: 24 pages, 6 figures. Version 2 has minor corrections, changes in
notation to conform with common conventions, and a new section on Future
Directions
MSC-class: 05A05, 05A15
\\ ( https://arxiv.org/abs/1508.05310 , 95kb)
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arXiv:1509.08623
replaced with revised version Mon, 2 May 2016 10:15:03 GMT (29kb)

Title: On a Conjecture of Cusick Concerning the Sum of Digits of n and n + t
Authors: Michael Drmota, Manuel Kauers, Lukas Spiegelhofer
Categories: math.CO cs.SC math.NT
Comments: 27 pages
MSC-class: 11A63, 05A20, 05A16, 11B50, 11B65
Journal-ref: SIAM J. Discrete Math., 30(2):621-649, 2016
\\ ( https://arxiv.org/abs/1509.08623 , 29kb)
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arXiv:1510.04386
replaced with revised version Sat, 30 Apr 2016 19:43:39 GMT (45kb)

Title: Total positivity for the Lagrangian Grassmannian
Authors: Rachel Karpman
Categories: math.CO
Comments: Revisions: Fixed typo. Corrected exposition in Remark 1, which
relates results of this paper to results of Xuhua He and Thomas Lam. 40
pages, 14 figures
\\ ( https://arxiv.org/abs/1510.04386 , 45kb)
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arXiv:1511.03069
replaced with revised version Mon, 2 May 2016 09:51:27 GMT (58kb)

Title: Solutions of Reeder's Puzzle
Authors: Zachi Evenor
Categories: math.CO
MSC-class: 05E15
\\ ( https://arxiv.org/abs/1511.03069 , 58kb)
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arXiv:1511.03511
replaced with revised version Sun, 1 May 2016 09:34:57 GMT (8kb)

Title: On the signed graphs with two distinct eigenvalues
Authors: F. Ramezani
Categories: math.CO math.SP
Comments: 11pages
MSC-class: 05C50
\\ ( https://arxiv.org/abs/1511.03511 , 8kb)
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arXiv:1604.08521
replaced with revised version Mon, 2 May 2016 16:52:46 GMT (91kb,D)

Title: Quasi-efficient domination in grids
Authors: Sahar A. Aleid, Jos\'e C\'aceres and Mar\'ia Luz Puertas
Categories: math.CO
Comments: 17 pages, 16 figures
\\ ( https://arxiv.org/abs/1604.08521 , 91kb)
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arXiv:1403.6596
replaced with revised version Sat, 30 Apr 2016 10:38:13 GMT (50kb)

Title: Value Distribution Theory for Parabolic Riemann Surfaces
Authors: Mihai Paun, Nessim Sibony
Categories: math.CV
Comments: A few results added
\\ ( https://arxiv.org/abs/1403.6596 , 50kb)
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arXiv:1412.8253
replaced with revised version Sat, 30 Apr 2016 02:37:34 GMT (76kb,D)

Title: Volume Approximations of Strictly Pseudoconvex Domains
Authors: Purvi Gupta
Categories: math.CV math.MG
Comments: 29 pages, 3 figures; the introduction has been revised
substantially;
some typos have been fixed; concluding remarks have been dropped; to
appear
in J. Geom. Anal
MSC-class: 32T15
\\ ( https://arxiv.org/abs/1412.8253 , 76kb)
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arXiv:1508.07486
replaced with revised version Mon, 2 May 2016 16:22:00 GMT (6kb)

Title: Entire functions of several variables of bounded index and PDE's
Authors: Andriy Bandura and Oleh Skaskiv
Categories: math.CV math.AP
Comments: 128 pages, contents and introduction
MSC-class: 32A15 (Primary), 32A17, 35B08 (Secondary)
\\ ( https://arxiv.org/abs/1508.07486 , 6kb)
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arXiv:1604.07059
replaced with revised version Mon, 2 May 2016 12:56:13 GMT (0kb,I)

Title: Hilbert-Schmidt Hankel operators over semi-Reinhardt domains
Authors: Tomasz Beberok and Nihat Gokhan Gogus
Categories: math.CV
Comments: This paper has been withdrawn by the authors due to mistake in the
proof of Main theorem
MSC-class: 47B35, 32A36
\\ ( https://arxiv.org/abs/1604.07059 , 0kb)
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arXiv:1604.08453
replaced with revised version Mon, 2 May 2016 16:54:13 GMT (20kb)

Title: Harmonic reflection in quasicircles and well-posedness of a
Riemann-Hilbert problem on quasidisks
Authors: Eric Schippers and Wolfgang Staubach
Categories: math.CV
Comments: 17 pages
MSC-class: 35Q15, 30C62, 30E25, 31C25 (Primary), 31A20 (Secondary)
\\ ( https://arxiv.org/abs/1604.08453 , 20kb)
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arXiv:1212.3595
replaced with revised version Mon, 2 May 2016 16:42:07 GMT (51kb)

Title: Pure spinors, intrinsic torsion and curvature in even dimensions
Authors: Arman Taghavi-Chabert
Categories: math.DG gr-qc math-ph math.MP
Comments: v2. Cleaned up version. Typos and errors fixed. Some reordering.
v3.
Restructured - some material moved to an additional appendix for clarity -
further typos fixed and other minor improvements v4. Presentation
improved.
Some material removed to be included in a future article. v5. As
published:
Abstract and intro rewritten. Presentation simplified
Journal-ref: Differential Geom. Appl. 46 (2016), 164-203
DOI: 10.1016/j.difgeo.2016.02.006
\\ ( https://arxiv.org/abs/1212.3595 , 51kb)
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arXiv:1408.5549
replaced with revised version Mon, 2 May 2016 16:52:36 GMT (1446kb)

Title: On the Neuron Response Features of Convolutional Neural Networks for
Remote Sensing Image
Authors: Jie Chen, Min Deng, Haifeng Li
Categories: math.DG
\\ ( https://arxiv.org/abs/1408.5549 , 1446kb)
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\\
arXiv:1402.1135
replaced with revised version Sun, 1 May 2016 17:09:16 GMT (53kb)

Title: Fuglede-Kadison Determinants and Sofic Entropy
Authors: Ben Hayes
Categories: math.DS math.FA math.OA
Comments: 56 pages. This is the final version to appear in Geometric and
Functional Analysis
\\ ( https://arxiv.org/abs/1402.1135 , 53kb)
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\\
arXiv:1404.4951
replaced with revised version Sun, 1 May 2016 20:26:23 GMT (21kb)

Title: Mixing for invertible infinite measure systems
Authors: Ian Melbourne
Categories: math.DS
Comments: Numbering of theorems etc updated to agree with numbering system
of
the published version
MSC-class: 37A25 (Primary) 37A40, 37A50, 37D25 (Secondary)
Journal-ref: Stochastics & Dynamics 15 (2015) 1550012 (25 pages)
\\ ( https://arxiv.org/abs/1404.4951 , 21kb)
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arXiv:1505.02404
replaced with revised version Sat, 30 Apr 2016 18:45:44 GMT (214kb,D)

Title: Box dimension of a hyperbolic saddle loop
Authors: Maja Resman
Categories: math.DS
Comments: 17 pages, 1 figure
MSC-class: 37C10, 28A75, 37C27, 37C29
\\ ( https://arxiv.org/abs/1505.02404 , 214kb)
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\\
arXiv:1509.01723
replaced with revised version Sat, 30 Apr 2016 20:35:49 GMT (44kb)

Title: von Neumann's problem and extensions of non-amenable equivalence
relations
Authors: Lewis Bowen, Daniel Hoff, and Adrian Ioana
Categories: math.DS math.GR math.OA
Comments: This version corrects a few minor errors and expands the
introduction
\\ ( https://arxiv.org/abs/1509.01723 , 44kb)
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arXiv:1509.03307
replaced with revised version Sat, 30 Apr 2016 05:28:46 GMT (38kb)

Title: On extensions of subshifts by finite groups
Authors: Kengo Matsumoto
Categories: math.DS math.OA
Comments: 36 pages: Sections 7 and 8 were revised
MSC-class: Primary 37B10, Secondary 28D20, 37B40, 46L80
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arXiv:1503.04856
replaced with revised version Mon, 2 May 2016 03:56:24 GMT (12kb)

Title: Fourier Series for Singular Measures
Authors: John E. Herr and Eric S. Weber
Categories: math.FA
Comments: 12 pages
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arXiv:1505.05108
replaced with revised version Sat, 30 Apr 2016 02:44:13 GMT (46kb)

Title: On the isomorphism problem for multiplier algebras of Nevanlinna-Pick
spaces
Authors: Michael Hartz
Categories: math.FA math.OA
Comments: 58 pages; small changes
MSC-class: Primary 47L30, Secondary 46E22, 47A13
\\ ( https://arxiv.org/abs/1505.05108 , 46kb)
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arXiv:1602.06430
replaced with revised version Sun, 1 May 2016 19:22:19 GMT (4kb)

Title: More on the metric projection onto a closed convex set in a Hilbert
space
Authors: Biagio Ricceri
Categories: math.FA
\\ ( https://arxiv.org/abs/1602.06430 , 4kb)
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arXiv:1604.05298
replaced with revised version Sun, 1 May 2016 11:06:50 GMT (0kb,I)

Title: Remarks on bounded operators in $\ell$-K\"othe spaces
Authors: Ersin K{\i}zgut, Elif Uyan{\i}k, and Murat Yurdakul
Categories: math.FA
Comments: Withdrawn due to an error in Theorem 2.1
MSC-class: 46A03, 46A32, 46A45
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arXiv:1410.1358
replaced with revised version Sat, 30 Apr 2016 18:03:04 GMT (32kb,D)

Title: The pseudo-Anosov and conjugacy problems are in $\textbf{NP} \cap
\textbf{co-NP}$
Authors: Mark C. Bell
Categories: math.GT
Comments: 26 pages, 6 figures, updated abstract, introduction and added
section
detailing the conjugacy problem
\\ ( https://arxiv.org/abs/1410.1358 , 32kb)
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arXiv:1508.05555
replaced with revised version Mon, 2 May 2016 04:53:11 GMT (2624kb)

Title: New Parities and Coverings over Free Knots
Authors: Vassily Olegovich Manturov
Categories: math.GT
Comments: 18 pages, 11 Figures
\\ ( https://arxiv.org/abs/1508.05555 , 2624kb)
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arXiv:1512.00129
replaced with revised version Sun, 1 May 2016 19:36:27 GMT (50kb)

Title: Pretzel Knots and q-Series
Authors: Mohamed Elhamdadi and Mustafa Hajij
Categories: math.GT math.CO math.NT
Comments: 22 Pages, 14 Figures
\\ ( https://arxiv.org/abs/1512.00129 , 50kb)
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arXiv:1602.02416
replaced with revised version Sat, 30 Apr 2016 14:04:59 GMT (10kb)

Title: Godel's Second Incompleteness Theorem for Definable Theories
Authors: Payam Seraji and Conden Chao
Categories: math.LO
\\ ( https://arxiv.org/abs/1602.02416 , 10kb)
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arXiv:1604.03841
replaced with revised version Sun, 1 May 2016 16:18:16 GMT (20kb)

Title: Type decomposition in NIP theories
Authors: Pierre Simon
Categories: math.LO
Comments: 17 pages, small improvements of the presentation
MSC-class: 03C45, 03C95
\\ ( https://arxiv.org/abs/1604.03841 , 20kb)
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arXiv:1504.02845
replaced with revised version Sun, 1 May 2016 10:50:49 GMT (232kb)

Title: The spherical dual transform is an isometry for spherical Wulff
shapes
Authors: Huhe Han and Takashi Nishimura
Categories: math.MG
Comments: 12 pages, 2 figures
MSC-class: 47N10, 52A30, 82D25
\\ ( https://arxiv.org/abs/1504.02845 , 232kb)
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arXiv:1512.00267
replaced with revised version Sat, 30 Apr 2016 16:00:42 GMT (16kb)

Title: Elementary vectors and conformal sums in polyhedral geometry and
their
relevance for metabolic pathway analysis
Authors: Stefan M\"uller, Georg Regensburger
Categories: math.MG q-bio.MN
MSC-class: 52Bxx
\\ ( https://arxiv.org/abs/1512.00267 , 16kb)
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arXiv:1603.05221
replaced with revised version Sun, 1 May 2016 18:56:08 GMT (33kb)

Title: Noncompact RCD(0,N) spaces with linear volume growth
Authors: Xian-tao Huang
Categories: math.MG math.DG
Comments: Significantly improved exposition. Typos corrected. All comments
are
welcome
\\ ( https://arxiv.org/abs/1603.05221 , 33kb)
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arXiv:1505.05926
replaced with revised version Sat, 30 Apr 2016 20:08:32 GMT (27kb)

Title: Hypercomplex Fock States for Discrete Electromagnetic Schr\"odinger
Operators: A Bayesian Probability Perspective
Authors: Nelson Faustino
Categories: math-ph math.CA math.MP math.PR
Comments: 28 pages; Section 2. on the previous version (v3) was
reformulated;
subsequent sections were readjusted; title has slightly changed
MSC-class: 26A33, 30G35, 33C20, 62F15, 81Q60
\\ ( https://arxiv.org/abs/1505.05926 , 27kb)
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arXiv:1508.01752
replaced with revised version Mon, 2 May 2016 06:05:18 GMT (56kb,D)

Title: Variational Sequences, Representation Sequences and Applications in
Physics
Authors: Marcella Palese, Olga Rossi, Ekkehart Winterroth and Jana
Musilov\'a
Categories: math-ph math.MP
MSC-class: 55N30, 55R10, 58A12, 58A20, 58E30, 70S10
Journal-ref: SIGMA 12 (2016), 045, 45 pages
DOI: 10.3842/SIGMA.2016.045
\\ ( https://arxiv.org/abs/1508.01752 , 56kb)
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arXiv:1508.07209
replaced with revised version Mon, 2 May 2016 09:22:31 GMT (16kb)

Title: A geometric approach to quantum control in a classical-like framework
Authors: Davide Pastorello
Categories: math-ph math.MP
Comments: 11 pages
\\ ( https://arxiv.org/abs/1508.07209 , 16kb)
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arXiv:1512.01323
replaced with revised version Sun, 1 May 2016 17:06:53 GMT (290kb,D)

Title: The Cauchy Principal Value and the finite part integral as values of
absolutely convergent integrals
Authors: Eric A. Galapon
Categories: math-ph math.MP
Journal-ref: Journal of Mathematical Physics 57, 033502 (2016)
DOI: 10.1063/1.4943300
\\ ( https://arxiv.org/abs/1512.01323 , 290kb)
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arXiv:1602.03257
replaced with revised version Sun, 1 May 2016 05:05:49 GMT (58kb)

Title: Asymptotics of mean-field $O(N)$ models
Authors: Kay Kirkpatrick and Tayyab Nawaz
Categories: math-ph math.MP
\\ ( https://arxiv.org/abs/1602.03257 , 58kb)
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arXiv:1602.04610
replaced with revised version Mon, 2 May 2016 15:26:43 GMT (12kb,D)

Title: Spherically symmetric potential in noncommutative spacetime with a
compactified extra dimensions
Authors: S\^ecloka Lazare Guedezounme, Antonin Danvid\'e Kanfon, Dine
Ousmane
Samary
Categories: math-ph math.MP
\\ ( https://arxiv.org/abs/1602.04610 , 12kb)
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arXiv:1604.03023
replaced with revised version Sat, 30 Apr 2016 07:57:34 GMT (34kb)

Title: Multivariate Trace Inequalities
Authors: David Sutter, Mario Berta, Marco Tomamichel
Categories: math-ph cs.IT math.IT math.MP quant-ph
Comments: v2: 21 pages, 2 figures, minor changes; v1: 20 pages, 2 figures
\\ ( https://arxiv.org/abs/1604.03023 , 34kb)
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arXiv:1501.01350
replaced with revised version Sat, 30 Apr 2016 13:44:37 GMT (519kb)

Title: High-order fractional-compact finite difference method for Riesz
spatial
telegraph equation
Authors: Hengfei Ding, Changpin Li
Categories: math.NA
Comments: 30 pages, 3 figures
\\ ( https://arxiv.org/abs/1501.01350 , 519kb)
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arXiv:1505.03335
replaced with revised version Sat, 30 Apr 2016 13:27:21 GMT (406kb)

Title: High-order numerical algorithms for Riesz derivatives via
constructing
new generating functions
Authors: Hengfei Ding, Changpin Li
Categories: math.NA
Comments: 32 pages, 2figures
\\ ( https://arxiv.org/abs/1505.03335 , 406kb)
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arXiv:1512.03284
replaced with revised version Mon, 2 May 2016 13:17:14 GMT (40kb)

Title: An adaptive linear homotopy method to approximate eigenpairs of
homogeneous polynomial systems
Authors: Paul Breiding
Categories: math.NA
\\ ( https://arxiv.org/abs/1512.03284 , 40kb)
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arXiv:1512.07342
replaced with revised version Sun, 1 May 2016 18:16:00 GMT (1877kb)

Title: Cheap arbitrary high order methods for single integrand SDEs
Authors: Kristian Debrabant and Anne Kv{\ae}rn{\o}
Categories: math.NA
MSC-class: 65C30, 60H35, 65C20
DOI: 10.1007/s10543-016-0619-8
\\ ( https://arxiv.org/abs/1512.07342 , 1877kb)
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arXiv:1602.03260
replaced with revised version Sun, 1 May 2016 20:33:35 GMT (271kb,D)

Title: A Nonconforming Finite Element Method for the Biot's Consolidation
Model
in Poroelasticity
Authors: Xiaozhe Hu and Carmen Rodrigo and Francisco J. Gaspar and Ludmil T.
Zikatanov
Categories: math.NA
MSC-class: 65N30
\\ ( https://arxiv.org/abs/1602.03260 , 271kb)
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arXiv:1504.04917
replaced with revised version Mon, 2 May 2016 07:59:13 GMT (22kb)

Title: On the complete faithfulness of the $p$-free quotient modules of dual
Selmer groups
Authors: Meng Fai Lim
Categories: math.NT
Comments: 24 pages. Several changes and corrections. arXiv admin note: text
overlap with arXiv:1408.2599
MSC-class: 11F80, 11G05, 11R23, 11R34, 16S34
\\ ( https://arxiv.org/abs/1504.04917 , 22kb)
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arXiv:1505.02279
replaced with revised version Mon, 2 May 2016 08:28:11 GMT (202kb,D)

Title: A generalization of reduced Arakelov divisors of a number field
Authors: Nguyen Thanh Ha Tran
Categories: math.NT
DOI: 10.1016/j.jnt.2016.03.006
\\ ( https://arxiv.org/abs/1505.02279 , 202kb)
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arXiv:1603.03983
replaced with revised version Sat, 30 Apr 2016 11:22:28 GMT (11kb)

Title: On roots of unity in orbits of rational functions
Authors: Alina Ostafe
Categories: math.NT
Comments: The case of of rational functions h=f/g with deg f - deg g<0 has
been
removed due to a gap in the argument. The main result holds for the case
deg
f - deg g > 1 only
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arXiv:1604.01914
replaced with revised version Mon, 2 May 2016 11:55:31 GMT (60kb)

Title: Traces des op\'erateurs de Hecke sur les espaces de formes
automorphes
de $\mathrm{SO}_7$, $\mathrm{SO}_8$ ou $\mathrm{SO}_9$ en niveau $1$ et
poids
arbitraire
Authors: Thomas M\'egarban\'e
Categories: math.NT
Comments: 58 pages, in French, 11 tables
MSC-class: 11F46, 11F55, 11F60, 11H55, 11H56
\\ ( https://arxiv.org/abs/1604.01914 , 60kb)
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arXiv:1604.02019
replaced with revised version Mon, 2 May 2016 18:59:59 GMT (45kb)

Title: Lower bounds for Maass forms on semisimple groups
Authors: Farrell Brumley, Simon Marshall
Categories: math.NT math.AP
MSC-class: 35P20, 11F60
\\ ( https://arxiv.org/abs/1604.02019 , 45kb)
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arXiv:1604.07977
replaced with revised version Sat, 30 Apr 2016 13:18:17 GMT (75kb)

Title: Some divisibility properties of q-Fibonacci numbers
Authors: Johann Cigler
Categories: math.NT
Comments: Since I became aware of the fact that some of my experimentally
found
results have already been proved in a paper by H. Pan I changed the title
and
revised the paper thoroughly
MSC-class: 05A30, 11A07, 11B39
\\ ( https://arxiv.org/abs/1604.07977 , 75kb)
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arXiv:1604.08670
replaced with revised version Mon, 2 May 2016 19:37:32 GMT (5kb)

Title: A Characteristic Function for the Primes
Authors: Jesse Aaron Zinn
Categories: math.NT
MSC-class: 11A41
\\ ( https://arxiv.org/abs/1604.08670 , 5kb)
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arXiv:1604.08940
replaced with revised version Mon, 2 May 2016 07:38:06 GMT (10kb)

Title: Comparison estimates for linear forms in additive number theory
Authors: Melvyn B. Nathanson
Categories: math.NT
Comments: 16 pages. A section on open problems has been added to the paper
MSC-class: 05A17, 11B13, 11B30, 11B75, 11P99
\\ ( https://arxiv.org/abs/1604.08940 , 10kb)
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arXiv:1402.5830
replaced with revised version Mon, 2 May 2016 14:55:37 GMT (228kb)

Title: A hybrid swarm-based algorithm for single-objective optimization
problems involving high-cost analyses
Authors: Enrico Ampellio and Luca Vassio
Categories: math.OC cs.AI cs.DC cs.NE
Comments: 19 pages, 4 figures, Springer Swarm Intelligence
Journal-ref: Swarm Intelligence 2016
DOI: 10.1007/s11721-016-0121-6
\\ ( https://arxiv.org/abs/1402.5830 , 228kb)
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arXiv:1503.08239
replaced with revised version Mon, 2 May 2016 11:03:22 GMT (1091kb)

Title: Constraint back-offs for safe, sufficient excitation: a general
theory
with application to experimental optimization
Authors: Gene A. Bunin
Categories: math.OC
Comments: 21 pages, 4 figures, resubmitted to Computers & Chemical
Engineering
as a regular paper (following second round of reviews)
\\ ( https://arxiv.org/abs/1503.08239 , 1091kb)
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arXiv:1504.04680
replaced with revised version Sat, 30 Apr 2016 23:40:15 GMT (3617kb,D)

Title: Zoned HVAC Control via PDE-Constrained Optimization
Authors: Runxin He and Humberto Gonzalez
Categories: math.OC
\\ ( https://arxiv.org/abs/1504.04680 , 3617kb)
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arXiv:1506.07924
replaced with revised version Mon, 2 May 2016 18:20:31 GMT (688kb)

Title: Decentralized Q-Learning for Stochastic Teams and Games
Authors: G\"urdal Arslan and Serdar Y\"uksel
Categories: math.OC cs.GT cs.LG
Comments: To appear in IEEE Trans. Automatic Control
\\ ( https://arxiv.org/abs/1506.07924 , 688kb)
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arXiv:1511.02398
replaced with revised version Sun, 1 May 2016 17:57:54 GMT (579kb)

Title: On the relationship between imitative logit dynamics in the
population
game theory and mirror descent method in the online optimization using the
example of the Shortest Path Problem
Authors: Alexander Gasnikov, Anastasia Lagunovskaya, Larisa Morozova
Categories: math.OC
Comments: 9 pages, in Russian
Journal-ref: TRUDY MIPT. 2015. V. 7. no. 4. P. 104-113
\\ ( https://arxiv.org/abs/1511.02398 , 579kb)
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arXiv:1512.00620
replaced with revised version Sun, 1 May 2016 09:06:21 GMT (16kb)

Title: Optimality of the generalized c\mu- rule in the moderate deviation
regime
Authors: Rami Atar and Subhamay Saha
Categories: math.OC
Comments: 15 pages
MSC-class: 60F10, 60K25, 93E20, 49N70
\\ ( https://arxiv.org/abs/1512.00620 , 16kb)
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arXiv:1604.04841
replaced with revised version Fri, 29 Apr 2016 23:57:26 GMT (16kb)

Title: On the Solution Existence of Nonconvex Quadratic Programming
Problems in
Hilbert Spaces
Authors: Vu Van Dong, Nguyen Nang Tam
Categories: math.OC
MSC-class: 90C20, 90C26, 90C30
\\ ( https://arxiv.org/abs/1604.04841 , 16kb)
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arXiv:1604.05275
replaced with revised version Sun, 1 May 2016 17:54:26 GMT (660kb)

Title: Universal fast gradient method for stochastic composit optimization
problems
Authors: Alexander Gasnikov and Yurii Nesterov
Categories: math.OC
Comments: 21 pages, in Russian
\\ ( https://arxiv.org/abs/1604.05275 , 660kb)
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arXiv:1604.08096
replaced with revised version Mon, 2 May 2016 16:35:45 GMT (2537kb,D)

Title: Forward-backward quasi-Newton methods for nonsmooth optimization
problems
Authors: Lorenzo Stella, Andreas Themelis, Panagiotis Patrinos
Categories: math.OC
\\ ( https://arxiv.org/abs/1604.08096 , 2537kb)
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arXiv:1604.08194
replaced with revised version Sun, 1 May 2016 17:52:29 GMT (343kb)

Title: Primal-dual mirror descent for the stochastic programming problems
with
functional constraints
Authors: Alexander Gasnikov, Evgenia Gasnikova, Sergey Matsievsky
Categories: math.OC
Comments: 7 pages, in Russian, Information Technology and Systems. 2016
\\ ( https://arxiv.org/abs/1604.08194 , 343kb)
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arXiv:1011.4043
replaced with revised version Sun, 1 May 2016 18:42:45 GMT (23kb)

Title: A note about the uniform distribution on the intersection of a
simplex
and a sphere
Authors: Sourav Chatterjee
Categories: math.PR
Comments: 21 pages. To appear in J. Topol. Anal
MSC-class: 35Q55, 82B26, 82B10, 60F10
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arXiv:1507.05522
replaced with revised version Mon, 2 May 2016 09:09:05 GMT (0kb,I)

Title: The tail of the crossing probability in near-critical percolation
--- an
appendix to Ahlberg & Steif [arXiv:1405.7144]
Authors: G\'abor Pete
Categories: math.PR math-ph math.CO math.MP
Comments: A significantly revised version of this appendix now appears as
part
of arXiv:1405.7144. In particular, the discussion of the high-dimensional
case is changed completely, making a new conjecture
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arXiv:1508.04645
replaced with revised version Sun, 1 May 2016 23:32:30 GMT (314kb,D)

Title: The multiplicative coalescent, inhomogeneous continuum random trees,
and
new universality classes for critical random graphs
Authors: Shankar Bhamidi, Remco van der Hofstad, Sanchayan Sen
Categories: math.PR math.CO
Comments: 67 pages, 5 figures, added proof of lower bound on Minkowski
dimension
MSC-class: 60C05, 05C80
\\ ( https://arxiv.org/abs/1508.04645 , 314kb)
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arXiv:1508.07768
replaced with revised version Sat, 30 Apr 2016 08:28:00 GMT (25kb)

Title: Random conical tessellations
Authors: Daniel Hug, Rolf Schneider
Categories: math.PR math.MG
Comments: Introduction is expanded, references are updated, strategy of
proof
is explained in several places, major results are emphasized
MSC-class: 60D05, 52A22, secondary 52A55, 52C35, 52B05
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arXiv:1511.04840
replaced with revised version Sun, 1 May 2016 07:16:00 GMT (39kb)

Title: A family of self-avoiding random walks interpolating the loop-erased
random walk and a self-avoiding walk on the Sierpinski gasket
Authors: Kumiko Hattori, Noriaki Ogo, Takafumi Otsuka
Categories: math.PR
Comments: 23 pages, 5 figures
MSC-class: 60F99, 60G17, 28A80, 37F25, 37F35
\\ ( https://arxiv.org/abs/1511.04840 , 39kb)
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arXiv:1511.04923
replaced with revised version Sat, 30 Apr 2016 06:24:07 GMT (24kb)

Title: A stroll along the gamma
Authors: Benjamin Arras and Yvik Swan
Categories: math.PR
Comments: Complete reorganization of the previous version. Sections 5 and 6
are
new with new results
MSC-class: 60E15, 26D10, 60B10
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arXiv:1602.05207
replaced with revised version Sat, 30 Apr 2016 19:59:25 GMT (25kb)

Title: Fractional smoothness of distributions of polynomials and a
fractional
analog of the Hardy--Landau--Littlewood inequality
Authors: Vladimir I. Bogachev, Egor D. Kosov, Georgii I. Zelenov
Categories: math.PR
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arXiv:1507.02792
replaced with revised version Mon, 2 May 2016 09:34:56 GMT (28kb)

Title: Nonassociative geometry in quasi-Hopf representation categories II:
Connections and curvature
Authors: Gwendolyn E. Barnes, Alexander Schenkel, Richard J. Szabo
Categories: math.QA hep-th math-ph math.CT math.MP
Comments: 29 pages. v2: Final version published in Journal of Geometry and
Physics
Report-no: EMPG-15-10
MSC-class: 16T05, 17B37, 46L87, 53D55
Journal-ref: Journal of Geometry and Physics, Volume 106, August 2016, Pages
234-255
DOI: 10.1016/j.geomphys.2016.04.005
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arXiv:1602.02662
replaced with revised version Sun, 1 May 2016 22:25:05 GMT (893kb,D)

Title: Planar Para Algebras, Reflection Positivity
Authors: Arthur Jaffe and Zhengwei Liu
Categories: math.QA cond-mat.mes-hall hep-th math-ph math.MP
Comments: 41 pages
\\ ( https://arxiv.org/abs/1602.02662 , 893kb)
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arXiv:1602.08587
replaced with revised version Sat, 30 Apr 2016 13:51:23 GMT (30kb)

Title: Explicit Forms of Cluster Variables on Double Bruhat Cells G^{u,e} of
type B
Authors: Yuki Kanakubo
Categories: math.QA
Comments: 37 pages, 1 figure. arXiv admin note: substantial text overlap
with
arXiv:1504.07813
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arXiv:1604.01247
replaced with revised version Sun, 1 May 2016 15:16:42 GMT (23kb)

Title: Exceptional quantum geometry and particle physics
Authors: Michel Dubois-Violette
Categories: math.QA gr-qc hep-th math-ph math.MP math.RA
Comments: 37 pages ; some minor typo corrections. To appear in Nucl. Pays. B
(2016), http://dx.doi.org/10.1016/j.nuclphysb.2016.04.018
Report-no: LPT-ORSAY 16-30
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arXiv:1601.00748
replaced with revised version Sun, 1 May 2016 04:30:49 GMT (21kb)

Title: On the flatness and the projectivity over Hopf subalgebras of Hopf
algebras over discrete valuation rings
Authors: Nguyen Dai Duong, Phung Ho Hai and Nguyen Huy Hung
Categories: math.RA
Comments: An updated and corrected version. Section 4 are completely
rewritten
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arXiv:1307.5297
replaced with revised version Sun, 1 May 2016 09:49:50 GMT (57kb)

Title: $Q$-polynomial distance-regular graphs and a double affine Hecke
algebra
of rank one
Authors: Jae-Ho Lee
Categories: math.RT math.CO
Comments: 79 pages, 1 fugure. arXiv admin note: text overlap with
arXiv:1205.2144, arXiv:math/0608694, arXiv:1108.0458 by other authors
MSC-class: 05E30, 33D80
Journal-ref: Linear Algebra Appl. 439 (2013), no. 10, 3184--3240
\\ ( https://arxiv.org/abs/1307.5297 , 57kb)
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arXiv:1505.01409
replaced with revised version Sat, 30 Apr 2016 20:02:45 GMT (17kb,D)

Title: Dual space and hyperdimension of compact hypergroups
Authors: Mahmood Alaghmandan, Massoud Amini
Categories: math.RT
Comments: Some revisions to Sections 3 following improvements suggested by
the
referee
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arXiv:1507.01349
replaced with revised version Sun, 1 May 2016 10:17:20 GMT (17kb)

Title: Leibniz algebras associated with representations of the Diamond Lie
algebra
Authors: S. Uguz, I.A. Karimjanov, B.A. Omirov
Categories: math.RT math.RA
Comments: 18 pages
MSC-class: 17A32, 17B30, 17B10
\\ ( https://arxiv.org/abs/1507.01349 , 17kb)
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arXiv:1512.00039
replaced with revised version Fri, 29 Apr 2016 08:53:12 GMT (26kb)

Title: Uniqueness of extremal Lagrangian tori in the four-dimensional disc
Authors: Georgios Dimitroglou Rizell
Categories: math.SG
Comments: 18 pages, 3 figures
MSC-class: 53D12, 53D42
\\ ( https://arxiv.org/abs/1512.00039 , 26kb)
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arXiv:1206.3707
replaced with revised version Sat, 30 Apr 2016 19:58:09 GMT (65kb)

Title: Symplectic geometry of quantum noise
Authors: Leonid Polterovich
Categories: math.SG math-ph math.MP quant-ph
Comments: Revised version, 57 pages, 3 figures. Incorporates arXiv:1203.2348
MSC-class: 53Dxx, 81Sxx
Journal-ref: Communications in Mathematical Physics 327 (2014), 481-519
\\ ( https://arxiv.org/abs/1206.3707 , 65kb)
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arXiv:1412.4495
replaced with revised version Mon, 2 May 2016 04:40:07 GMT (11kb)

Title: Superheavy Lagrangian immersion in 2-torus
Authors: Morimichi Kawasaki
Categories: math.SG
Comments: 11 pages, added a new result (Theorem 6.1)
MSC-class: 37J10, 53D12, 53D40, 57R17
\\ ( https://arxiv.org/abs/1412.4495 , 11kb)
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arXiv:1511.04350
replaced with revised version Sun, 1 May 2016 15:17:23 GMT (103kb,D)

Title: Smoothness of Kuranishi atlases on Gromov-Witten moduli spaces
Authors: Robert Castellano
Categories: math.SG
Comments: 42 pages, 5 figures; v3 correct errors in the gluing theorem
MSC-class: 53D45, 53D05, 57R17
\\ ( https://arxiv.org/abs/1511.04350 , 103kb)
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arXiv:1209.1031
replaced with revised version Sun, 1 May 2016 18:54:46 GMT (506kb)

Title: Testing the Fractional Integration Parameter Revisited: a Fractional
Dickey-Fuller Test
Authors: Ahmed Bensalma and Mohamed Bentarzi
Categories: math.ST stat.TH
MSC-class: 62F03, 62F05, 62F12, 62M10
\\ ( https://arxiv.org/abs/1209.1031 , 506kb)
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arXiv:1308.1269
replaced with revised version Sat, 30 Apr 2016 07:34:37 GMT (40kb)

Title: On b-bit min-wise hashing for large-scale regression and
classification
with sparse data
Authors: Rajen D. Shah and Nicolai Meinshausen
Categories: math.ST stat.ML stat.TH
Comments: 36 pages
\\ ( https://arxiv.org/abs/1308.1269 , 40kb)
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arXiv:1411.6719
replaced with revised version Sun, 1 May 2016 18:30:16 GMT (34kb)

Title: Asymptotically Optimal Discrete Time Nonlinear Filters From
Stochastically Convergent State Process Approximations
Authors: Dionysios S. Kalogerias, Athina P. Petropulu
Categories: math.ST cs.SY math.OC stat.AP stat.ME stat.TH
Comments: EXTENDED version of an original paper published in the IEEE
Transactions on Signal Processing; 37 pages
\\ ( https://arxiv.org/abs/1411.6719 , 34kb)
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arXiv:1503.06388
replaced with revised version Sat, 30 Apr 2016 22:32:52 GMT (79kb,D)

Title: Adaptive Concentration of Regression Trees, with Application to
Random
Forests
Authors: Stefan Wager and Guenther Walther
Categories: math.ST stat.ML stat.TH
\\ ( https://arxiv.org/abs/1503.06388 , 79kb)
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arXiv:1510.01290
replaced with revised version Mon, 2 May 2016 09:39:29 GMT (64kb)

Title: Total positivity in Markov structures
Authors: Shaun Fallat, Steffen Lauritzen, Kayvan Sadeghi, Caroline Uhler,
Nanny
Wermuth, Piotr Zwiernik
Categories: math.ST stat.TH
MSC-class: 60E15, 62H99, 15B48
\\ ( https://arxiv.org/abs/1510.01290 , 64kb)
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arXiv:1602.03436
replaced with revised version Mon, 2 May 2016 08:13:04 GMT (188kb,D)

Title: High-Dimensional Estimation of Structured Signals from Non-Linear
Observations with General Convex Loss Functions
Authors: Martin Genzel
Categories: math.ST stat.TH
\\ ( https://arxiv.org/abs/1602.03436 , 188kb)
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arXiv:1603.00285
replaced with revised version Sat, 30 Apr 2016 12:06:39 GMT (100kb)

Title: Kernel-based Tests for Joint Independence
Authors: Niklas Pfister, Peter B\"uhlmann, Bernhard Sch\"olkopf, and Jonas
Peters
Categories: math.ST stat.ML stat.TH
Comments: 59 pages
\\ ( https://arxiv.org/abs/1603.00285 , 100kb)
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arXiv:1603.09071
replaced with revised version Mon, 2 May 2016 16:51:33 GMT (191kb,D)

Title: Robust Low-Rank Matrix Estimation
Authors: Andreas Elsener, Sara van de Geer
Categories: math.ST stat.TH
Comments: 34 pages, 2 figures; Lemmas B.1 and B.2 revised
MSC-class: 62J05, 62F30
\\ ( https://arxiv.org/abs/1603.09071 , 191kb)
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arXiv:1604.02576
replaced with revised version Mon, 2 May 2016 01:20:33 GMT (35kb)

Title: Hypothesis Testing via Affine Detectors
Authors: Anatoli Juditsky and Arkadi Nemirovski
Categories: math.ST stat.TH
MSC-class: 62F10, 62G10, 90C25, 90C47
\\ ( https://arxiv.org/abs/1604.02576 , 35kb)
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arXiv:1604.06906
replaced with revised version Sat, 30 Apr 2016 12:05:05 GMT (611kb)

Title: Non-Central Multivariate Chi-Square and Gamma Distributions
Authors: Thomas Royen
Categories: math.ST stat.TH
Comments: 15 pages
\\ ( https://arxiv.org/abs/1604.06906 , 611kb)
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arXiv:1604.02732
replaced with revised version Sat, 30 Apr 2016 14:02:10 GMT (22kb)

Title: Framed motives of relative motivic spheres
Authors: Grigory Garkusha, Alexander Neshitov, Ivan Panin
Categories: math.KT math.AG math.AT
Comments: In order to make the paper self-contained, Theorem 1.2 has been
added
to the new version
\\ ( https://arxiv.org/abs/1604.02732 , 22kb)
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arXiv:1312.1231 (*cross-listing*)
replaced with revised version Sat, 30 Apr 2016 10:00:26 GMT (49kb,D)

Title: The Morse theory of \v{C}ech and Delaunay complexes
Authors: Ulrich Bauer, Herbert Edelsbrunner
Categories: cs.CG math.AT math.GT math.MG
Comments: 21 pages, 2 figures, improved exposition
MSC-class: 52C99, 51F99, 55U10, 57Q10
\\ ( https://arxiv.org/abs/1312.1231 , 49kb)
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arXiv:1505.05926
replaced with revised version Sat, 30 Apr 2016 20:08:32 GMT (27kb)

Title: Hypercomplex Fock States for Discrete Electromagnetic Schr\"odinger
Operators: A Bayesian Probability Perspective
Authors: Nelson Faustino
Categories: math-ph math.CA math.MP math.PR
Comments: 28 pages; Section 2. on the previous version (v3) was
reformulated;
subsequent sections were readjusted; title has slightly changed
MSC-class: 26A33, 30G35, 33C20, 62F15, 81Q60
\\ ( https://arxiv.org/abs/1505.05926 , 27kb)
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arXiv:1510.05167 (*cross-listing*)
replaced with revised version Sat, 30 Apr 2016 14:26:08 GMT (704kb)

Title: Viral epidemiology of the adult Apis Mellifera infested by the Varroa
destructor mite
Authors: Sara Bernardi, Ezio Venturino
Categories: q-bio.PE math.DS
MSC-class: 92D25, 92D30
\\ ( https://arxiv.org/abs/1510.05167 , 704kb)
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arXiv:1507.08850 (*cross-listing*)
replaced with revised version Sat, 30 Apr 2016 22:33:19 GMT (6kb)

Title: Generalization of parity-time and partial parity-time symmetry
Authors: Francisco M. Fern\'andez
Categories: quant-ph math-ph math.MP
\\ ( https://arxiv.org/abs/1507.08850 , 6kb)
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arXiv:1509.04914 (*cross-listing*)
replaced with revised version Mon, 2 May 2016 15:57:25 GMT (50kb,D)

Title: Geodesics in nonexpanding impulsive gravitational waves with
$\Lambda$,
Part I
Authors: Clemens S\"amann, Roland Steinbauer, Alexander Lecke, Ji\v{r}\'i
Podolsk\'y
Categories: gr-qc math-ph math.MP
Comments: 32 pages, 3 figures, minor revisions, included "Part I" in the
title,
final version
MSC-class: 83C15, 83C35, 46F10, 34A36
Journal-ref: Class. Quantum Grav. 33 115002 (2016)
DOI: 10.1088/0264-9381/33/11/115002
\\ ( https://arxiv.org/abs/1509.04914 , 50kb)
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arXiv:1602.05407 (*cross-listing*)
replaced with revised version Mon, 2 May 2016 13:35:41 GMT (150kb,D)

Title: Random bosonic states for robust quantum metrology
Authors: Micha{\l} Oszmaniec, Remigiusz Augusiak, Christian Gogolin, Jan
Ko{\l}ody\'nski, A. Ac\'in, Maciej Lewenstein
Categories: quant-ph math-ph math.MP
Comments: 8 pages + 20 pages of appendix, 4 figures, v2:changed title, minor
corrections, new references added, comments and suggestions are welcome
\\ ( https://arxiv.org/abs/1602.05407 , 150kb)
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arXiv:1602.06786 (*cross-listing*)
replaced with revised version Sun, 1 May 2016 03:17:11 GMT (24kb)

Title: Generalized quark-antiquark potentials from a $q$-deformed AdS$_5
\times
$S$^5$ background
Authors: Takashi Kameyama, Kentaroh Yoshida
Categories: hep-th math-ph math.MP nlin.SI
Comments: 34 pages, no figure, LaTeX; v3: references added and minor changes
Report-no: KUNS-2610
\\ ( https://arxiv.org/abs/1602.06786 , 24kb)
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arXiv:1603.07508 (*cross-listing*)
replaced with revised version Mon, 2 May 2016 09:09:22 GMT (31kb,D)

Title: Entanglement and coherence in quantum state merging
Authors: A. Streltsov, E. Chitambar, S. Rana, M. N. Bera, A. Winter, M.
Lewenstein
Categories: quant-ph math-ph math.MP physics.optics
Comments: 9 pages, 1 figure. Lemma 5 in Appendix D of the previous version
was
not correct. This did not affect the results of the main text
\\ ( https://arxiv.org/abs/1603.07508 , 31kb)
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arXiv:1601.07810 (*cross-listing*)
replaced with revised version Mon, 2 May 2016 08:27:17 GMT (2453kb,D)

Title: The Unfitted Discontinuous Galerkin Method for Solving the EEG
Forward
Problem
Authors: Andreas N\"u{\ss}ing, Carsten H. Wolters, Heinrich Brinck,
Christian
Engwer
Categories: cs.CE math.NA q-bio.NC
Comments: This work has been submitted to the IEEE for possible publication.
Copyright may be transferred without notice, after which this version may
no
longer be accessible
MSC-class: 35J25, 35J75, 35Q92, 65N30, 68U20, 92C50
ACM-class: G.1.8; G.1.10; I.6.0; J.3
\\ ( https://arxiv.org/abs/1601.07810 , 2453kb)
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arXiv:1505.03259 (*cross-listing*)
replaced with revised version Sat, 30 Apr 2016 01:20:56 GMT (109kb,D)

Title: Coordination Over Multi-Agent Networks With Unmeasurable States and
Finite-Level Quantization
Authors: Yang Meng, Tao Li, Ji-Feng Zhang
Categories: cs.SY math.OC
Comments: 10 pages, 2 figures
\\ ( https://arxiv.org/abs/1505.03259 , 109kb)
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arXiv:1602.04662 (*cross-listing*)
replaced with revised version Sat, 30 Apr 2016 13:24:40 GMT (490kb,D)

Title: Optimal Control of an Energy Storage Facility Under a Changing
Economic
Environment and Partial Information
Authors: Anton A. Shardin, Michaela Sz\"olgyenyi
Categories: q-fin.MF math.OC
Comments: Forthcoming in International Journal of Theoretical and Applied
Finance
MSC-class: 93E20, 93E11, 60H10
\\ ( https://arxiv.org/abs/1602.04662 , 490kb)
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arXiv:1604.07478 (*cross-listing*)
replaced with revised version Fri, 29 Apr 2016 20:02:38 GMT (225kb,D)

Title: Collection and Dissemination of Data on Time-Varying Digraphs
Authors: Kevin Topley
Categories: cs.SY math.OC
Comments: 12 pages, 8 figures
MSC-class: 68M10, 68M14, 90B18
ACM-class: E.1; G.2.2; H.2.4; H.3.4
\\ ( https://arxiv.org/abs/1604.07478 , 225kb)
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arXiv:1604.07884
replaced with revised version Mon, 2 May 2016 19:21:11 GMT (109kb)

Title: Spatial Birth-Death Wireless Networks
Authors: Abishek Sankararaman, Francois Baccelli
Categories: cs.IT math.IT math.PR
Comments: Submitted to IEEE Transactions on Information Theory. Corrected
some
typos from an earlier version
\\ ( https://arxiv.org/abs/1604.07884 , 109kb)
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arXiv:1604.08437 (*cross-listing*)
replaced with revised version Mon, 2 May 2016 06:39:12 GMT (103kb,D)

Title: Optimal pattern matching algorithms
Authors: Gilles Didier
Categories: cs.CC math.PR
\\ ( https://arxiv.org/abs/1604.08437 , 103kb)
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arXiv:1604.08059 (*cross-listing*)
replaced with revised version Sun, 1 May 2016 13:53:59 GMT (37kb)

Title: New Bounds for Hypergeometric Creative Telescoping
Authors: Hui Huang
Categories: cs.SC math.RA
Comments: 8 pages, ISSAC 2016 submission
ACM-class: I.1.2
DOI: 10.1145/2930889.2930893
\\ ( https://arxiv.org/abs/1604.08059 , 37kb)
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arXiv:1602.05126 (*cross-listing*)
replaced with revised version Mon, 2 May 2016 16:52:31 GMT (16kb)

Title: Poisson-Lie T-duality as a boundary phenomenon of Chern-Simons theory
Authors: Pavol \v{S}evera
Categories: hep-th math.SG
Comments: 17 pages
\\ ( https://arxiv.org/abs/1602.05126 , 16kb)
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