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 Juan de Mairena Posts: 11 Registered: 3/15/09
[Snark] rr3
Posted: May 1, 2016 5:05 PM
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arXiv:1511.02212
Date: Fri, 6 Nov 2015 19:57:21 GMT (35kb)

Title: How Large is $A_g(\mathbb{F}_q)$?
Authors: Michael Lipnowski, Jacob Tsimerman
Categories: math.NT
Comments: 38 pages
\\
Let $B(g,p)$ denote the number of isomorphism classes of $g$-dimensional
abelian varieties over the finite field of size $p.$ Let $A(g,p)$ denote the
number of isomorphism classes of principally polarized $g$ dimensional
abelian
varieties over the finite field of size $p.$ We derive upper bounds for
$B(g,p)$ and lower bounds for $A(g,p)$ for $p$ fixed and $g$ increasing. The
extremely large gap between the lower bound for $A(g,p)$ and the upper bound
$B(g,p)$ implies some statistically counterintuitive behavior for abelian
varieties of large dimension over a fixed finite field.
\\ ( http://arxiv.org/abs/1511.02212 , 35kb)
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arXiv:1511.02221
Date: Fri, 6 Nov 2015 20:36:36 GMT (11kb)

Title: On correlations of certain multiplicative functions
Authors: R. Balasubramanian, Sumit Giri, Priyamvad Srivastav
Categories: math.NT
MSC-class: 11N
\\
In this paper, the correlation function of the form $\frac{1}{x}\sum_{n \leq x} F(n) G(n-h)$, were $F=f*1$ and $G=g*1$ with $f$ and $g$ small on an
average,
has been considered. We obtain an estimation formulae for this mean value
depending on different order of magnitude of $f$ and $g$. We compute an
average
of shifted Euler totient function $\varphi(n-h)$ over square-free integers
$n$
and in general expressions of the type $\sum_{n \leq x} \mu^2(n) G(n-h)$,
where
$G$ is close to $1$ on primes. For certain cases where $f$ and $g$ are
small,
we make some improvements in the error terms of the corresponding
estimations.
\\ ( http://arxiv.org/abs/1511.02221 , 11kb)
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arXiv:1511.01930
Date: Thu, 5 Nov 2015 21:53:34 GMT (210kb)

Title: On the Matsumoto-Yor property in free probability
Authors: Kamil Szpojankowski
Categories: math.OA math.PR
\\
We study the Matsumoto-Yor property in free probability. We prove that the
limiting empirical eigenvalue distribution of the GIG matrices and the
Marchenko-Pastur distribution have the free Matsumoto-Yor property. Finally
we
characterize these distributions by a regression properties in free
probability.
\\ ( http://arxiv.org/abs/1511.01930 , 210kb)
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arXiv:1511.02018
Date: Fri, 6 Nov 2015 10:01:17 GMT (12kb)

Title: Norm-parallelism in the geometry of Hilbert $C^*$-modules
Authors: Ali Zamani and Mohammad Sal Moslehian
Categories: math.OA math.FA
Comments: 17 pages, to appear in Indag. Math
MSC-class: 46L08, 47A30, 46L05, 47B47
\\
Utilizing the Birkhoff--James orthogonality, we present some
characterizations of the norm-parallelism for elements of
$\mathbb{B}(\mathscr{H})$ defined on a finite dimensional Hilbert space,
elements of a Hilbert $C^*$-module over the $C^*$-algebra of compact
operators
and elements of an arbitrary $C^*$-algebra. We also consider the
characterization of norm parallelism problem for operators on a finite
dimensional Hilbert space when the operator norm is replaced by the Schatten
$p$-norm. Some applications and generalizations are discussed for certain
elements of a Hilbert $C^*$-module.
\\ ( http://arxiv.org/abs/1511.02018 , 12kb)
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arXiv:1511.01922
Date: Thu, 5 Nov 2015 21:36:49 GMT (65kb)

Title: A Multi-stage Stochastic Programming Approach for Network Capacity
Expansion with Multiple Sources of Capacity
Authors: Majid Taghavi, Kai Huang
Categories: math.OC
\\
In networks, there are often more than one source of capacity. The
capacities
can be permanently or temporarily owned by the decision maker. Depending on
the
nature of sources, we identify the permanent capacity, spot market capacity
and
contract capacity. We use a scenario tree to model the uncertainty, and
build a
multi-stage stochastic integer program that can incorporate multiple sources
and multiple types of capacities in a general network. We propose two
solution
methodologies for the problem. Firstly, we design an asymptotically
convergent
approximation algorithm. Secondly, we design a cutting plane algorithm
based on
Benders decomposition to find tight bounds for the problem. The numerical
experiments show superb performance of the proposed algorithms compared with
commercial software.
\\ ( http://arxiv.org/abs/1511.01922 , 65kb)
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arXiv:1511.01935
Date: Thu, 5 Nov 2015 22:24:39 GMT (7217kb,D)

Title: A Multiresolution Ensemble Kalman Filter using Wavelet Decomposition
Authors: Kyle S. Hickmann, Humberto C. Godinez
Categories: math.OC physics.data-an
\\
We present a method of using classical wavelet based multiresolution
analysis
to separate scales in model and observations during data assimilation with
the
ensemble Kalman filter. In many applications, the underlying physics of a
phenomena involve the interaction of features at multiple scales. Blending
of
observational and model error across scales can result in large forecast
inaccuracies since large errors at one scale are interpreted as inexact
data at
all scales. Our method uses a transformation of the observation operator in
order to separate the information from different scales of the observations.
This naturally induces a transformation of the observation covariance and we
put forward several algorithms to efficiently compute the transformed
covariance. Another advantage of our multiresolution ensemble Kalman filter
is
that scales can be weighted independently to adjust each scale's effect on
the
forecast. To demonstrate feasibility we present applications to a one
dimensional Kuramoto-Sivashinsky (K-S) model with scale dependent
observation
noise and an application involving the forecasting of solar photospheric
flux.
The latter example demonstrates the multiresolution ensemble Kalman filter's
ability to account for scale dependent model error. Modeling of photospheric
magnetic flux transport is accomplished by the Air Force Data Assimilative
Photospheric Transport (ADAPT) model.
\\ ( http://arxiv.org/abs/1511.01935 , 7217kb)
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arXiv:1511.01965
Date: Fri, 6 Nov 2015 01:07:35 GMT (355kb,D)

Title: Sequential Detection of Market shocks using Risk-averse Agent Based
Models
Authors: Vikram Krishnamurthy and Sujay Bhatt
Categories: math.OC q-fin.TR
\\
This paper considers a statistical signal processing problem involving
agent
based models of financial markets which at a micro-level are driven by
socially
aware and risk- averse trading agents. These agents trade (buy or sell)
stocks
by exploiting information about the decisions of previous agents (social
learning) via an order book in addition to a private (noisy) signal they
receive on the value of the stock. We are interested in the following: (1)
Modelling the dynamics of these risk averse agents, (2) Sequential
detection of
a market shock based on the behaviour of these agents. Structural results
which
characterize social learning under a risk measure, CVaR (Conditional
Value-at-risk), are presented and formulation of the Bayesian change point
detection problem is provided. The structural results exhibit two
interesting
prop- erties: (i) Risk averse agents herd more often than risk neutral
agents
(ii) The stopping set in the sequential detection problem is non-convex. The
framework is validated on data from the Yahoo! Tech Buzz game dataset.
\\ ( http://arxiv.org/abs/1511.01965 , 355kb)
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arXiv:1511.02089
Date: Fri, 6 Nov 2015 14:24:01 GMT (1683kb,D)

Title: Earth-Moon Lyapunov to Lyapunov Mission: Long Time Duration,
Low-Thrust
Transfer
Authors: Maxime Chupin (LJLL), Thomas Haberkorn (MAPMO), Emmanuel Tr\'elat
(LJLL)
Categories: math.OC math.DS
\\
In this work, we develop a new method to design missions with low-thrust
propulsion. In the Circular Restricted Three Body Problem, the knowledge of
invariant manifolds helps us to initialize an indirect method solving a
transfer mission between periodic Lyapunov orbits. Indeed, using the
Pontryagin
Maximum Principle, the optimal control problem is solved using Newton-like
algorithms finding the zero of a shooting function. We first compute an
admissible trajectory using a heteroclinic orbit between the two periodic
orbits. It is then used to initialize a multiple shooting method in order to
release the constraint. We finally optimize the terminal points on the
periodic
orbits. Moreover, we use continuation methods on position and on thrust, in
order to gain robustness.
\\ ( http://arxiv.org/abs/1511.02089 , 1683kb)
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arXiv:1511.02180
Date: Fri, 6 Nov 2015 18:15:40 GMT (10999kb,D)

Title: Stabilization of a Rigid Body Payload with Multiple Cooperative
Quadrotors
Authors: Farhad A. Goodarzi and Taeyoung Lee
Categories: math.OC
Comments: arXiv admin note: substantial text overlap with arXiv:1501.04910
\\
This paper presents the full dynamics and control of arbitrary number of
quadrotor unmanned aerial vehicles (UAV) transporting a rigid body. The
rigid
body is connected to the quadrotors via flexible cables where each flexible
cable is modeled as a system of arbitrary number of serially connected
links.
It is shown that a coordinate-free form of equations of motion can be
derived
for the complete model without any simplicity assumptions that commonly
appear
in other literature, according to Lagrangian mechanics on a manifold. A
geometric nonlinear controller is presented to transport the rigid body to a
fixed desired position while aligning all of the links along the vertical
direction. A rigorous mathematical stability proof is given and the
desirable
features of the proposed controller are illustrated by numerical examples
and
experimental results.
\\ ( http://arxiv.org/abs/1511.02180 , 10999kb)
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arXiv:1511.02182
Date: Fri, 6 Nov 2015 18:26:30 GMT (380kb,D)

Title: Optimizing Damper Connectors for Adjacent Buildings
Authors: K. Bigdeli and W. Hare and J. Nutini and S. Tesfamariam
Categories: math.OC
\\
Many theoretical and experimental studies have used heuristic methods to
investigate the dynamic behaviour of the passive coupling of adjacent
structures. However, few papers have used optimization techniques with
guaranteed convergence in order to increase the efficiency of the passive
coupling of adjacent structures. In this paper, the combined problem of
optimal
arrangement and mechanical properties of dampers placed between two adjacent
buildings is considered. A new bi-level optimization approach is presented.
The
outer-loop of the approach optimizes damper configuration and is solved
using
the inserting dampers'' method, which was recently shown to be a very
effective heuristic method. Under the assumption that the dampers have
varying
damper coefficients, the inner-loop finds the optimal damper coefficients by
solving an $n$-dimensional optimization problem, where derivative
information
of the objective function is not available. Three different non-gradient
methods are compared for solving the inner loop: a genetic algorithm (GA),
the
mesh adaptive direct search (MADS) algorithm, and the robust approximate
gradient sampling (RAGS) algorithm. It is shown that by exploiting this new
bi-level problem formulation, modern derivative free optimization techniques
with guaranteed convergence (such as MADS and RAGS) can be used. The results
indicate a great increase in the efficiency of the retrofitting system, as
well
as the existence of a threshold on the number of dampers inserted with
respect
to the efficiency of the retrofitting system.
\\ ( http://arxiv.org/abs/1511.02182 , 380kb)
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arXiv:1511.02190
Date: Fri, 6 Nov 2015 18:46:01 GMT (34kb)

Title: Parallel projection methods for variational inequalities involving
common fixed point problems
Authors: Dang Van Hieu
Categories: math.OC
Comments: 16 pages, 2 figures, submitted
MSC-class: 47H05, 47H09, 47H10, 47J20, 65Y05
\\
In this paper, we introduce two novel parallel projection methods for
finding
a solution of a system of variational inequalities which is also a common
fixed
point of a family of (asymptotically) $\kappa$ - strict pseudocontractive
mappings. A technical extension in the proposed algorithms helps in
computing
practical numerical experiments when the number of subproblems is large.
Some
numerical examples are implemented to demonstrate the efficiency of parallel
computations.
\\ ( http://arxiv.org/abs/1511.02190 , 34kb)
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arXiv:1511.02201
Date: Fri, 6 Nov 2015 19:22:55 GMT (383kb)

Title: Cooperation and Competition among Energy Storages
Authors: Jesus E. Contreras-Oca\~na, Miguel A. Ortega-Vazquez, Baosen Zhang
Categories: math.OC cs.SY
\\
We study competition and cooperation among a group of storage units. We
show
that as the number of storages increases, the profit of storages approaches
zero under Nash competition. We propose two ways in which storages can
achieve
non-zero profit and show that they are optimal in the sense that storages
achieve the maximum possible profit. The first is a decentralized approach
in
which storages are exposed to artificial cost functions that incentivize
them
to behavior as a coalition. No private information needs to be exchanged
between the storages to calculate the artificial function. The second is a
centralized approach in which an aggregator coordinates and splits profits
with
storages in order to achieve maximum profit. We use Nash's axiomatic
bargaining
problem to model and predict the profit split between aggregator and
storages.
\\ ( http://arxiv.org/abs/1511.02201 , 383kb)
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arXiv:1511.02204
Date: Fri, 6 Nov 2015 19:31:52 GMT (2119kb,D)

Title: An Extended Frank-Wolfe Method with "In-Face" Directions, and its
Application to Low-Rank Matrix Completion
Authors: Robert M. Freund and Paul Grigas and Rahul Mazumder
Categories: math.OC stat.CO stat.ML
Comments: 25 pages, 3 tables and 2 figues
MSC-class: 90C25
ACM-class: G.1.6
\\
Motivated principally by the low-rank matrix completion problem, we
present
an extension of the Frank-Wolfe method that is designed to induce
near-optimal
solutions on low-dimensional faces of the feasible region. This is
accomplished
by a new approach to generating in-face" directions at each iteration, as
well as through new choice rules for selecting between in-face and
regular"
Frank-Wolfe steps. Our framework for generating in-face directions
generalizes
the notion of away-steps introduced by Wolfe. In particular, the in-face
directions always keep the next iterate within the minimal face containing
the
current iterate. We present computational guarantees for the new method that
trade off efficiency in computing near-optimal solutions with upper bounds
on
the dimension of minimal faces of iterates. We apply the new method to the
matrix completion problem, where low-dimensional faces correspond to
low-rank
matrices. We present computational results that demonstrate the
effectiveness
of our methodological approach at producing nearly-optimal solutions of very
low rank. On both artificial and real datasets, we demonstrate significant
speed-ups in computing very low-rank nearly-optimal solutions as compared to
either the Frank-Wolfe method or its traditional away-step variant.
\\ ( http://arxiv.org/abs/1511.02204 , 2119kb)
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arXiv:1511.01975
Date: Fri, 6 Nov 2015 03:09:31 GMT (23kb)

Title: Persistence of centrality in random growing trees
Authors: Varun Jog and Po-Ling Loh
Categories: math.PR cs.DM cs.SI math.ST stat.TH
Comments: 21 pages
MSC-class: 60C05
\\
We investigate properties of node centrality in random growing tree
models.
We focus on a measure of centrality that computes the maximum subtree size
of
the tree rooted at each node, with the most central node being the tree
centroid. For random trees grown according to a preferential attachment
model,
a uniform attachment model, or a diffusion processes over a regular tree, we
prove that a single node persists as the tree centroid after a finite
number of
steps, with probability 1. Furthermore, this persistence property
generalizes
to the top $K \ge 1$ nodes with respect to the same centrality measure. We
also
establish necessary and sufficient conditions for the size of an initial
seed
graph required to ensure persistence of a particular node with probability
$1-\epsilon$, as a function of $\epsilon$: In the case of preferential and
uniform attachment models, we derive bounds for the size of an initial hub
constructed around the special node. In the case of a diffusion process
over a
regular tree, we derive bounds for the radius of an initial ball centered
around the special node. Our necessary and sufficient conditions match up to
constant factors for preferential attachment and diffusion tree models.
\\ ( http://arxiv.org/abs/1511.01975 , 23kb)
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arXiv:1511.02118
Date: Fri, 6 Nov 2015 15:37:04 GMT (35kb)

Title: Thermodynamics for spatially inhomogeneous magnetization and
Young-Gibbs
measures
Authors: A. Montino, N. Soprano-Loto and D. Tsagkarogiannis
Categories: math.PR
\\
We derive thermodynamic functionals for spatially inhomogeneous
magnetization
on a torus in the context of an Ising spin lattice model. We calculate the
corresponding free energy and pressure (by applying an appropriate external
field using a quadratic Kac potential) and show that they are related via a
modified Legendre transform. The local properties of the infinite volume
Gibbs
measure, related to whether a macroscopic configuration is realized as a
homogeneous state or as a mixture of pure states, are also studied by
constructing the corresponding Young-Gibbs measures.
\\ ( http://arxiv.org/abs/1511.02118 , 35kb)
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arXiv:1511.02211
Date: Fri, 6 Nov 2015 19:56:55 GMT (10kb)

Title: A sharp lower bound for choosing the maximum of an independent
sequence
Authors: Pieter C. Allaart and Jose A. Islas
Categories: math.PR
Comments: 13 pages
MSC-class: 60G40
\\
This paper considers a variation of the full-information secretary problem
where the random variables to be observed are independent but not necessary
identically distributed. The main result is a sharp lower bound for the
optimal
win probability. Precisely, if $X_1,\dots,X_n$ are independent random
variables
with known continuous distributions and $V_n(X_1,\dots,X_n):=\sup_\tau P(X_\tau=M_n)$, where $M_n:=\max\{X_1,\dots,X_n\}$ and the supremum is over
all
stopping times adapted to $X_1,\dots,X_n$, then $$V_n(X_1,\dots,X_n)\geq \left(1-\frac{1}{n}\right)^{n-1},$$ and this bound is attained. The method
of
proof consists in reducing the problem to that of a sequence of two-valued
random variables, and then applying Bruss' sum-the-odds theorem (2000). In
order to obtain a sharp bound for each $n$, we improve Bruss' lower bound
(2003) for the sum-the-odds problem.
\\ ( http://arxiv.org/abs/1511.02211 , 10kb)
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arXiv:1511.02130
Date: Fri, 6 Nov 2015 15:59:49 GMT (16kb)

Title: Frobenius Divisibility for Hopf Algebras
Authors: Adam Jacoby and Martin Lorenz
Categories: math.RA
MSC-class: 16G99, 16T99
\\
We present a unified ring theoretic approach, based on properties of the
Casimir element of a symmetric algebra, to a variety of known divisibility
results for the degrees of irreducible representations of semisimple Hopf
algebras in characteristic 0. All these results are motivated by a classical
theorem of Frobenius on the degrees of irreducible complex representations
of
finite groups.
\\ ( http://arxiv.org/abs/1511.02130 , 16kb)
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arXiv:1511.01961
Date: Fri, 6 Nov 2015 00:33:33 GMT (36kb)

Title: Topology of two-row Springer fibers for the even orthogonal and
symplectic group
Authors: Arik Wilbert
Categories: math.RT math.AG math.GT
Comments: This article is part of the author's PhD thesis
\\
We construct an explicit topological model (similar to the topological
Springer fibers appearing in work of Khovanov and Russell) for every two-row
Springer fiber associated with the even orthogonal group and prove that the
respective topological model is homeomorphic to its corresponding Springer
fiber. This confirms a conjecture by Ehrig and Stroppel concerning the
topology
of the equal-row Springer fiber for the even orthogonal group. Moreover, we
show that every two-row Springer fiber for the symplectic group is
homeomorphic
(even isomorphic as an algebraic variety) to a connected component of a
certain
two-row Springer fiber for the even orthogonal group.
\\ ( http://arxiv.org/abs/1511.01961 , 36kb)
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\\
arXiv:1511.02145
Date: Fri, 6 Nov 2015 16:38:53 GMT (26kb)

Title: Low-dimensional topology, low-dimensional field theory and
representation theory
Authors: J\"urgen Fuchs and Christoph Schweigert
Categories: math.RT math.QA
Comments: 12 pages, to appear in the review volume on the Research Priority
Programme SPP 1388 "Representation theory''
Report-no: ZMP-HH/15/25, Hamburger Beitr\"age zur Mathematik Nr. 571
\\
Structures in low-dimensional topology and low-dimensional geometry --
often
combined with ideas from (quantum) field theory -- can explain and inspire
concepts in algebra and in representation theory and their categorified
versions. We present a personal view on some of these instances which have
appeared within the Research Priority Programme SPP 1388 Representation
theory''.
\\ ( http://arxiv.org/abs/1511.02145 , 26kb)
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arXiv:1511.02041
Date: Fri, 6 Nov 2015 11:54:37 GMT (74kb,D)

Title: A Chiang-type Lagrangian in CP2
Authors: Ana Cannas da Silva
Categories: math.SG
Comments: 8 pages
\\
We analyse a simple Chiang-type lagrangian in CP2 which is topologically
an
RP2 but exhibits a distinguishing behaviour under reduction by one of the
toric
circle actions, in particular it is a one-to-one transverse lifting of a
great
circle in CP1.
\\ ( http://arxiv.org/abs/1511.02041 , 74kb)
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\\
arXiv:1511.01957
Date: Thu, 5 Nov 2015 23:51:51 GMT (225kb,D)

Title: False Discoveries Occur Early on the Lasso Path
Authors: Weijie Su, Malgorzata Bogdan, Emmanuel Candes
Categories: math.ST cs.IT math.IT stat.ML stat.TH
\\
In regression settings where explanatory variables have very low
correlations
and where there are relatively few effects each of large magnitude, it is
commonly believed that the Lasso shall be able to find the important
variables
with few errors---if any. In contrast, this paper shows that this is not the
case even when the design variables are stochastically independent. In a
regime
of linear sparsity, we demonstrate that true features and null features are
always interspersed on the Lasso path, and that this phenomenon occurs no
matter how strong the effect sizes are. We derive a sharp asymptotic
trade-off
between false and true positive rates or, equivalently, between measures of
type I and type II errors along the Lasso path. This trade-off states that
if
we ever want to achieve a type II error (false negative rate) under a given
threshold, then anywhere on the Lasso path the type I error (false positive
rate) will need to exceed a given threshold so that we can never have both
errors at a low level at the same time. Our analysis uses tools from
approximate message passing (AMP) theory as well as novel elements to deal
with
a possibly adaptive selection of the Lasso regularizing parameter.
\\ ( http://arxiv.org/abs/1511.01957 , 225kb)
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arXiv:1511.02112
Date: Fri, 6 Nov 2015 15:21:16 GMT (539kb,D)

Title: Optimal kernel selection for density estimation
Authors: M Lerasle (JAD), N Magalh\~A{\pounds}es (UPMC), P Reynaud-Bouret
(JAD)
Categories: math.ST stat.TH
\\
We provide new general kernel selection rules thanks to penalized
least-squares criteria. We derive optimal oracle inequalities using adequate
concentration tools. We also investigate the problem of minimal penalty as
described in [BM07].
\\ ( http://arxiv.org/abs/1511.02112 , 539kb)
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arXiv:1511.02177 (*cross-listing*)
Date: Fri, 6 Nov 2015 18:03:51 GMT (19kb)

Title: The $\mathbb{Z}_2^n$ Dirac-Dunkl operator and a higher rank
Bannai-Ito
algebra
Authors: Hendrik De Bie, Vincent X. Genest and Luc Vinet
Categories: math-ph math.CA math.MP math.QA
Comments: 20 pages
\\
The kernel of the $\mathbb{Z}_2^{n}$ Dirac-Dunkl operator is examined. The
symmetry algebra $\mathcal{A}_{n}$ of the associated Dirac-Dunkl equation on
$\mathbb{S}^{n-1}$ is determined and is seen to correspond to a higher rank
generalization of the Bannai-Ito algebra. A basis for the polynomial
null-solutions of the Dirac-Dunkl operator is constructed. The basis
elements
are joint eigenfunctions of a maximal commutative subalgebra of
$\mathcal{A}_{n}$ and are given explicitly in terms of Jacobi polynomials.
The
symmetry algebra is shown to act irreducibly on this basis via
raising/lowering
operators. A scalar realization of $\mathcal{A}_{n}$ is proposed.
\\ ( http://arxiv.org/abs/1511.02177 , 19kb)
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\
arXiv:1511.02038 (*cross-listing*)
Date: Fri, 6 Nov 2015 11:39:15 GMT (131kb)

Title: Hamiltonian Path in 2-Trees
Authors: P.Renjith and N.Sadagopan
Categories: cs.DM math.CO
Comments: 22 pages, 16 figures
\\
For a graph, a spanning path is a path containing all vertices and it is
also
known as \emph{Hamiltonian path}. For general graphs, there is no known
necessary and sufficient condition for the existence of Hamiltonian path and
the complexity of finding a Hamiltonian path in general graphs is
NP-Complete.
We present a necessary and sufficient condition for the existence of
Hamiltonian path in 2-trees. Using our characterization, we also present a
polynomial-time algorithm for the existence of Hamiltonian path in 2-trees.
We
also highlight the fact that 2-trees are well-known subclass of chordal and
planar graphs. This paper makes the first attempt in identifying a
non-trivial
subclass of planar graphs where Hamiltonian path is polynomial-time solvable
which is otherwise NP-Complete on planar as well as chordal graphs. Our
characterization is based on a deep understanding of the structure of
2-trees
and we believe that the combinatorics presented here can be used in other
combinatorial problems restricted to 2-trees.
\\ ( http://arxiv.org/abs/1511.02038 , 131kb)
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arXiv:1511.02147 (*cross-listing*)
Date: Fri, 6 Nov 2015 16:40:14 GMT (50kb)

Title: Profinite Monads, Profinite Equations and Reiterman's Theorem
Authors: Liang-Ting Chen and Jiri Adamek and Stefan Milius and Henning Urbat
Categories: cs.FL math.CT
\\
Profinite equations are an indispensable tool for the algebraic
classification of formal languages. Reiterman's theorem states that they
precisely specify pseudovarieties, i.e. classes of finite algebras closed
under
finite products, subalgebras and quotients. In this paper Reiterman's
theorem
is generalised to finite Eilenberg-Moore algebras for a monad T on a
variety D
of (ordered) algebras: a class of finite T-algebras is a pseudovariety iff
it
is presentable by profinite (in-)equations. As an application,
quasivarieties
of finite algebras are shown to be presentable by profinite implications.
Other
examples include finite ordered algebras, finite categories, finite
infinity-monoids, etc.
\\ ( http://arxiv.org/abs/1511.02147 , 50kb)
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\\
arXiv:1511.01875 (*cross-listing*)
Date: Thu, 5 Nov 2015 19:59:57 GMT (14kb,D)

Title: Discrete Flavour Symmetries from the Heisenberg Group
Authors: E.G. Floratos, G.K. Leontaris
Categories: hep-th hep-ph math-ph math.MP
Comments: 16 pages
\\
Non-abelian discrete symmetries are of particular importance in model
building. They are mainly invoked to explain the various fermion mass
hierarchies and forbid dangerous superpotential terms. In string models they
are usually associated to the geometry of the compactification manifold and
more particularly to the magnetised branes in toroidal compactifications.
Motivated by these facts, in this note we propose a unified framework to
construct representations of finite discrete family groups based on the
automorphisms of the discrete and finite Heisenberg group. We focus in
particular in the $PSL_2(p)$ groups which contain the phenomenologically
interesting cases.
\\ ( http://arxiv.org/abs/1511.01875 , 14kb)
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arXiv:1511.01939 (*cross-listing*)
Date: Thu, 5 Nov 2015 22:32:30 GMT (186kb)

Title: Noninertial effects on the quantum dynamics of scalar bosons
Authors: Luis B. Castro
Categories: hep-th gr-qc math-ph math.MP quant-ph
Comments: 12 pages, 6 figures. arXiv admin note: substantial text overlap
with
arXiv:1504.01961
\\
The noninertial effect of rotating frames on the quantum dynamics of
scalar
bosons embedded in the background of a cosmic string is considered. In this
work, scalar bosons are described by the Duffin--Kemmer--Petiau (DKP)
formalism. Considering the DKP oscillator in this background the combined
effects of a rotating frames and cosmic string on the equation of motion,
energy spectrum and DKP spinor are analyzed and discussed in details.
Additionally, the effect of rotating frames on the scalar bosons
localization
is studied.
\\ ( http://arxiv.org/abs/1511.01939 , 186kb)
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\\
arXiv:1511.02134 (*cross-listing*)
Date: Fri, 6 Nov 2015 16:07:04 GMT (7021kb,D)

Title: A quantitative performance analysis for Stokes solvers at the extreme
scale
Authors: Bj\"orn Gmeiner and Markus Huber and Lorenz John and Ulrich R\"ude
and
Barbara Wohlmuth
Categories: cs.CE cs.MS cs.NA math.NA
MSC-class: 65N55, 65Y05, 68Q25
\\
This article presents a systematic quantitative performance analysis for
large finite element computations on extreme scale computing systems. Three
parallel iterative solvers for the Stokes system, discretized by low order
tetrahedral elements, are compared with respect to their numerical
efficiency
and their scalability running on up to $786\,432$ parallel threads. A
genuine
multigrid method for the saddle point system using an Uzawa-type smoother
provides the best overall performance with respect to memory consumption and
time-to-solution. The largest system solved on a Blue Gene/Q system has more
than ten trillion ($1.1 \cdot 10 ^{13}$) unknowns and requires about 13
minutes
compute time. Despite the matrix free and highly optimized implementation,
the
memory requirement for the solution vector and the auxiliary vectors is
about
200 TByte. Brandt's notion of "textbook multigrid efficiency" is employed to
study the algorithmic performance of iterative solvers. A recent extension
of
this paradigm to "parallel textbook multigrid efficiency" makes it possible
to
assess also the efficiency of parallel iterative solvers for a given
hardware
architecture in absolute terms. The efficiency of the method is demonstrated
for simulating incompressible fluid flow in a pipe filled with spherical
obstacles.
\\ ( http://arxiv.org/abs/1511.02134 , 7021kb)
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\\
arXiv:1511.02188 (*cross-listing*)
Date: Fri, 6 Nov 2015 18:40:52 GMT (139kb,D)

Title: Efficient Functional-Based Adaptation for CFD Applications
Authors: William C. Tyson and Christopher J. Roy
Categories: physics.flu-dyn math.NA physics.comp-ph
\\
Adjoint methods have gained popularity in recent years for driving
adaptation
procedures which aim to reduce error in solution functionals. While adjoint
methods have been proven effective for functional-based adaptation, the
practical implementation of an adjoint method can be quite burdensome since
code developers constantly need to ensure and maintain a dual consistent
discretization as updates are made. Also, since most engineering problems
consider multiple functionals, an adjoint solution must be obtained for each
functional of interest which can increase the overall computational cost
significantly. In this paper, an alternative to adjoints is presented which
uses a sparse approximate inverse of the Jacobian of the residual to obtain
approximate adjoint sensitivities for functional-based adaptation
indicators.
Since the approximate inverse need only be computed once, it can be recycled
for any number of functionals making the new approach more efficient than a
conventional adjoint method. This new method for functional-based adaptation
will be tested using the quasi-1D nozzle problem, and results are presented
for
functionals of integrated pressure and entropy.
\\ ( http://arxiv.org/abs/1511.02188 , 139kb)
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\\
arXiv:1511.01942 (*cross-listing*)
Date: Thu, 5 Nov 2015 22:45:12 GMT (1037kb,D)

Title: Stop Wasting My Gradients: Practical SVRG
Authors: Reza Babanezhad, Mohamed Osama Ahmed, Alim Virani, Mark Schmidt,
Jakub
Kone\v{c}n\'{y}, Scott Sallinen
Categories: cs.LG math.OC stat.CO stat.ML
\\
We present and analyze several strategies for improving the performance of
stochastic variance-reduced gradient (SVRG) methods. We first show that the
convergence rate of these methods can be preserved under a decreasing
sequence
of errors in the control variate, and use this to derive variants of SVRG
that
use growing-batch strategies to reduce the number of gradient calculations
required in the early iterations. We further (i) show how to exploit support
vectors to reduce the number of gradient computations in the later
iterations,
(ii) prove that the commonly-used regularized SVRG iteration is justified
and
improves the convergence rate, (iii) consider alternate mini-batch selection
strategies, and (iv) consider the generalization error of the method.
\\ ( http://arxiv.org/abs/1511.01942 , 1037kb)
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\\
arXiv:1511.02124 (*cross-listing*)
Date: Fri, 6 Nov 2015 15:48:53 GMT (1614kb,D)

Title: Barrier Frank-Wolfe for Marginal Inference
Authors: Rahul G. Krishnan, Simon Lacoste-Julien, David Sontag
Categories: stat.ML cs.LG math.OC
Comments: 25 pages, 12 figures, To appear in Neural Information Processing
Systems (NIPS) 2015
\\
We introduce a globally-convergent algorithm for optimizing the
tree-reweighted (TRW) variational objective over the marginal polytope. The
algorithm is based on the conditional gradient method (Frank-Wolfe) and
moves
pseudomarginals within the marginal polytope through repeated maximum a
posteriori (MAP) calls. This modular structure enables us to leverage
black-box
MAP solvers (both exact and approximate) for variational inference, and
obtains
more accurate results than tree-reweighted algorithms that optimize over the
local consistency relaxation. Theoretically, we bound the sub-optimality for
the proposed algorithm despite the TRW objective having unbounded gradients
at
the boundary of the marginal polytope. Empirically, we demonstrate the
increased quality of results found by tightening the relaxation over the
marginal polytope as well as the spanning tree polytope on synthetic and
real-world instances.
\\ ( http://arxiv.org/abs/1511.02124 , 1614kb)
%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%
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arXiv:1308.2203
replaced with revised version Fri, 6 Nov 2015 03:45:08 GMT (18kb)

Title: Weierstrass points on Kummer extensions
Authors: Miriam Abdon, Herivelto Borges and Luciane Quoos
Categories: math.AG
MSC-class: Primary 14H55, 11R58, Secondary 14Hxx
\\ ( http://arxiv.org/abs/1308.2203 , 18kb)
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\\
arXiv:1408.0037
replaced with revised version Fri, 6 Nov 2015 18:39:10 GMT (35kb)

Title: Moduli of morphisms of logarithmic schemes
Authors: Jonathan Wise
Categories: math.AG
Comments: 45 pages; one error corrected, some new material on Zariski
logarithmic structures, and a new appendix by Sam Molcho with explicit
constructions in important examples; comments welcome!
\\ ( http://arxiv.org/abs/1408.0037 , 35kb)
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\\
arXiv:1504.07280
replaced with revised version Thu, 5 Nov 2015 21:11:47 GMT (40kb)

Title: Resolution of singularities of the cotangent sheaf of a singular
variety
Authors: Andre Belotto da Silva, Edward Bierstone, Vincent Grandjean and
Pierre
D. Milman
Categories: math.AG math.CV
Comments: 42 pages. Minor revision of original posting (including change of
title)
MSC-class: Primary 14E05, 14E15, 32S45, Secondary 14C30, 14F43, 32C15,
32S20,
32S35
\\ ( http://arxiv.org/abs/1504.07280 , 40kb)
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\\
arXiv:1506.05213
replaced with revised version Fri, 6 Nov 2015 05:54:38 GMT (89kb,D)

Title: Exceptional collections on Dolgachev surfaces associated with
degenerations
Authors: Yonghwa Cho, Yongnam Lee
Categories: math.AG
Comments: 34 pages, 3 figures. Major revision on Section 5
\\ ( http://arxiv.org/abs/1506.05213 , 89kb)
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\\
arXiv:1510.05741
replaced with revised version Fri, 6 Nov 2015 04:23:04 GMT (1052kb,D)

Title: Uniform Sobolev inequalities for second order non-elliptic
differential
operators
Authors: Eunhee Jeong, Yehyun Kwon, Sanghyuk Lee
Categories: math.AP
Comments: 23 pages, 1 figure. Typos and a minor error corrected
MSC-class: 35B45, 42B15
\\ ( http://arxiv.org/abs/1510.05741 , 1052kb)
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\\
arXiv:1411.1832
replaced with revised version Fri, 6 Nov 2015 12:20:01 GMT (66kb,D)

Title: Embedding calculus knot invariants are of finite type
Authors: Ryan Budney, James Conant, Robin Koytcheff, Dev Sinha
Categories: math.AT math.GT
Comments: Revised maps to the infinitesimal mapping space model in Sections
3
and 4 and analysis of cubical diagrams in Section 5. Minor expository and
organizational changes throughout. Now 28 pages, 4 figures
MSC-class: 57M27, 55R80, 55P99, 57R40, 55T99
\\ ( http://arxiv.org/abs/1411.1832 , 66kb)
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\\
arXiv:1207.3032
replaced with revised version Fri, 6 Nov 2015 14:21:32 GMT (153kb,D)

Title: Snark Designs
Authors: Anthony D. Forbes
Categories: math.CO
Comments: 92 pages. References updated, pictures added, typos corrected.
Abridged version omitting all design details accepted by Utilitas
Mathematica
MSC-class: 05B05
\\ ( http://arxiv.org/abs/1207.3032 , 153kb)
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\\
arXiv:1503.06639
replaced with revised version Fri, 6 Nov 2015 07:12:14 GMT (43kb)

Title: A finite version of the Kakeya problem
Authors: Simeon Ball, Aart Blokhuis and Diego Domenzain
Categories: math.CO
MSC-class: 05E, 51A
\\ ( http://arxiv.org/abs/1503.06639 , 43kb)
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\\
arXiv:1506.06488
replaced with revised version Fri, 6 Nov 2015 14:43:48 GMT (413kb,D)

Title: Constructive Approach to Automorphism Groups of Planar Graphs
Authors: Pavel Klav\'ik, Roman Nedela, Peter Zeman
Categories: math.CO cs.DM math.GR
Comments: arXiv admin note: substantial text overlap with arXiv:1503.06556
\\ ( http://arxiv.org/abs/1506.06488 , 413kb)
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\\
arXiv:1409.4219
replaced with revised version Fri, 6 Nov 2015 08:30:39 GMT (33kb)

Title: Algebraically coherent categories
Authors: Alan S. Cigoli and James R. A. Gray and Tim Van der Linden
Categories: math.CT
Comments: 33 pages; changes throughout the text
MSC-class: 20F12, 08C05, 17A99, 18B25, 18G50
\\ ( http://arxiv.org/abs/1409.4219 , 33kb)
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\\
arXiv:1506.07111
replaced with revised version Fri, 6 Nov 2015 14:31:42 GMT (10kb)

Title: A generalization of Livingston's coefficient inequalities for
functions
with positive real part
Authors: Iason Efraimidis
Categories: math.CV
Comments: 12 pages, LaTeX; An alternative proof of Theorem 2 and an
alternative
proof of a theorem of Brown are added in version 2. Available online in
Journal of Mathematical Analysis and Applications
MSC-class: 30C45, 30C50
DOI: 10.1016/j.jmaa.2015.10.050
\\ ( http://arxiv.org/abs/1506.07111 , 10kb)
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\\
arXiv:1508.06510
replaced with revised version Fri, 6 Nov 2015 18:57:47 GMT (98kb)

Title: On metrics of curvature 1 with four conic singularities on tori and
on
the sphere
Authors: Alexandre Eremenko and Andrei Gabrielov
Categories: math.CV math.AP math.CA
Comments: 25 pages, 5 figures
MSC-class: 34M03, 34M05, 35J91, 33E05
\\ ( http://arxiv.org/abs/1508.06510 , 98kb)
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\\
arXiv:1407.6561
replaced with revised version Fri, 6 Nov 2015 14:09:15 GMT (19kb)

Title: On the equidistribution of totally geodesic submanifolds in compact
locally symmetric spaces and application to boundedness results for
negative
curves and exceptional divisors
Authors: Vincent Koziarz and Julien Maubon
Categories: math.DG math.AG
Comments: The paper has been substantially rewritten. Corollary 1.3 in the
previous versions was false as stated. This has been corrected (see
Corollary
1.5). The main results are not affected
\\ ( http://arxiv.org/abs/1407.6561 , 19kb)
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\\
arXiv:1409.0138
replaced with revised version Fri, 6 Nov 2015 17:49:13 GMT (20kb)

Title: Complete minimal discs in Hadamard manifolds
Authors: Jaime Ripoll, Friedrich Tomi
Categories: math.DG
MSC-class: 53C42, 53C21
\\ ( http://arxiv.org/abs/1409.0138 , 20kb)
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\\
arXiv:1505.00705
replaced with revised version Fri, 6 Nov 2015 15:07:56 GMT (15kb)

Title: Geometric convergence of the K\"ahler-Ricci flow on complex surfaces
of
general type
Authors: Bin Guo, Jian Song and Ben Weinkove
Categories: math.DG math.CV
Comments: 15 pages, v2 final version, minor corrections, to appear in IMRN
\\ ( http://arxiv.org/abs/1505.00705 , 15kb)
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\\
arXiv:1509.01971
replaced with revised version Fri, 6 Nov 2015 10:26:17 GMT (18kb,D)

Title: Invariant cocalibrated $G_2$-structures on nilmanifolds
Authors: Leonardo Bagaglini
Categories: math.DG
\\ ( http://arxiv.org/abs/1509.01971 , 18kb)
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\\
arXiv:1511.00185
replaced with revised version Fri, 6 Nov 2015 14:56:58 GMT (9kb)

Title: A short note on additive functions on Riemannian co-compact coverings
Authors: Minh Kha
Categories: math.DG
Comments: 4 pages, modify a bibliography
MSC-class: 58A03, 58A10, 58A12, 58A14
\\ ( http://arxiv.org/abs/1511.00185 , 9kb)
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\\
arXiv:1108.5141
replaced with revised version Fri, 6 Nov 2015 14:11:01 GMT (0kb,I)

Title: Entropy and Its Variational Principle for Product Type Dynamical
Systems
Authors: Andr\'e Caldas and Mauro Patr\~ao
Categories: math.DS
Comments: Withdrawn for a major flaw in the main theorem
\\ ( http://arxiv.org/abs/1108.5141 , 0kb)
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\\
arXiv:1305.7110
replaced with revised version Fri, 6 Nov 2015 14:15:40 GMT (36kb)

Title: Floquet theory based on new periodicity concept for hybrid systems
involving $q$-difference equations
Authors: Murat Adivar and H. Can Koyuncuo\u{g}lu
Categories: math.DS
Comments: 34 pages
MSC-class: 34K13, 34C25, 39A13, 34N05
Journal-ref: Applied Mathematics and Computation, 2015
DOI: 10.1016/j.amc.2015.08.124
\\ ( http://arxiv.org/abs/1305.7110 , 36kb)
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\\
arXiv:1409.7023
replaced with revised version Fri, 6 Nov 2015 16:53:57 GMT (56kb,D)

Title: The Lagrange spectrum of a Veech surface has a Hall ray
Authors: Mauro Artigiani, Luca Marchese, Corinna Ulcigrai
Categories: math.DS math.NT
Comments: 30 pages, 5 figures. Minor revision
MSC-class: 11J06, 37D40 (Primary) 32G15 (Secondary)
\\ ( http://arxiv.org/abs/1409.7023 , 56kb)
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\\
arXiv:1501.00961
replaced with revised version Fri, 6 Nov 2015 14:53:35 GMT (30kb)

Title: Ergodic optimization of prevalent super-continuous functions
Authors: Jairo Bochi, Yiwei Zhang
Categories: math.DS math.OC
Comments: 23 pages, 4 figures. Final version, to appear in International
Mathematics Research Notices (IMRN)
MSC-class: 37D20, 90C05, 60B11, 52B12
\\ ( http://arxiv.org/abs/1501.00961 , 30kb)
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\\
arXiv:1501.06772
replaced with revised version Fri, 6 Nov 2015 09:03:32 GMT (204kb,D)

Title: Dynamics of infinitely generated nicely expanding rational semigroups
and the inducing method
Authors: Johannes Jaerisch and Hiroki Sumi
Categories: math.DS math.CV math.PR
Comments: to appear in Trans. Amer. Math. Soc
MSC-class: 30D05, 37F15
\\ ( http://arxiv.org/abs/1501.06772 , 204kb)
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arXiv:1511.00359
replaced with revised version Fri, 6 Nov 2015 12:58:58 GMT (20kb)

Title: Remarks on a Solutions of a System of Rational Difference Equations
Authors: Julius Fergy Tiongson Rabago
Categories: math.DS
Comments: Paper submitted to a journal for publication
MSC-class: 39A12, 37B20
\\ ( http://arxiv.org/abs/1511.00359 , 20kb)
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arXiv:1508.05630
replaced with revised version Wed, 4 Nov 2015 17:32:10 GMT (14kb)

Title: Fold maps with singular value sets having no self-intersections the
inverse images of whose regular values are disjoint unions of spheres
Authors: Naoki Kitazawa
Categories: math.KT math.GT
\\ ( http://arxiv.org/abs/1508.05630 , 14kb)
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\\
arXiv:1508.07875
replaced with revised version Fri, 6 Nov 2015 11:06:23 GMT (25kb)

Title: Scaling Distances on Finitely Ramified Fractals
Authors: Roberto Peirone
Categories: math.MG
Comments: 30 pages
MSC-class: 28A80, 05C12, 15B48
\\ ( http://arxiv.org/abs/1508.07875 , 25kb)
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\\
arXiv:1409.0439
replaced with revised version Fri, 6 Nov 2015 08:30:56 GMT (44kb)

Title: Linear duals of graded bundles and higher analogues of (Lie)
algebroids
Authors: Andrew James Bruce, Katarzyna Grabowska, Janusz Grabowski
Categories: math-ph math.DG math.MP math.QA math.SG
Comments: The preprint has been reworked and improved, including several
notational changes and further clarifying comments. 32 pages. Further
comments are welcomed
MSC-class: 53C10, 53D17, 55R10, 58A50
\\ ( http://arxiv.org/abs/1409.0439 , 44kb)
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arXiv:1507.04265
replaced with revised version Fri, 6 Nov 2015 14:13:01 GMT (36kb)

Title: Geometry of Higgs bundles over elliptic curves related to
automorphisms
of simple Lie algebras, Calogero-Moser systems and KZB equations
Authors: A. Levin, M. Olshanetsky, A. Zotov
Categories: math-ph math.MP nlin.SI
Comments: 35 pages + 2 tables
Report-no: preprint IITP-TH-06/15
\\ ( http://arxiv.org/abs/1507.04265 , 36kb)
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arXiv:1509.02610
replaced with revised version Fri, 6 Nov 2015 01:47:13 GMT (21kb)

Title: Hypercontractivity and the logarithmic Sobolev inequality for the
completely bounded norm
Authors: Salman Beigi, Christopher King
Categories: math-ph math.FA math.MP quant-ph
Comments: 27 pages, V3 minor changes
Journal-ref: J. Math. Phys. 57, 015206 (2016)
DOI: 10.1063/1.4934729
\\ ( http://arxiv.org/abs/1509.02610 , 21kb)
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arXiv:1412.5005
replaced with revised version Fri, 6 Nov 2015 11:27:23 GMT (28kb)

Title: Convergence theory for preconditioned eigenvalue solvers in a
nutshell
Authors: Merico E. Argentati, Andrew V. Knyazev, Klaus Neymeyr, Evgueni E.
Ovtchinnikov, Ming Zhou
Categories: math.NA
Comments: 12 pages, accepted for Foundations of Computational Mathematics
2015
Report-no: AKNOZ 15
MSC-class: 49M37, 65F15, 65K10, 65N25
\\ ( http://arxiv.org/abs/1412.5005 , 28kb)
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arXiv:1504.06149
replaced with revised version Fri, 6 Nov 2015 09:13:23 GMT (395kb,D)

Title: A low-rank approach to the computation of path integrals
Authors: M.S. Litsarev and I.V. Oseledets
Categories: math.NA physics.comp-ph
Journal-ref: J. Comput. Phys. (2015)
DOI: 10.1016/j.jcp.2015.11.009
\\ ( http://arxiv.org/abs/1504.06149 , 395kb)
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arXiv:1505.02835
replaced with revised version Fri, 6 Nov 2015 14:30:44 GMT (5116kb,D)

Title: Estimating numerical errors due to operator splitting in global
atmospheric chemistry models: Transport and chemistry
Authors: Mauricio Santillana, Ling Zhang, Robert Yantosca
Categories: math.NA
Journal-ref: Journal of Computational Physics, 2015
DOI: 10.1016/j.jcp.2015.10.052
\\ ( http://arxiv.org/abs/1505.02835 , 5116kb)
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arXiv:1506.01670
replaced with revised version Fri, 6 Nov 2015 09:37:18 GMT (863kb,D)

Title: Computation of 2D Fourier transforms and diffraction integrals using
Gaussian radial basis functions
Authors: A. Martinez-Finkelshtein, D. Ramos-Lopez, and D. R. Iskander
Categories: math.NA
Comments: 46 pages, 5 figures. An updated on the ENZ computation is included
\\ ( http://arxiv.org/abs/1506.01670 , 863kb)
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arXiv:1204.2526
replaced with revised version Fri, 6 Nov 2015 18:57:37 GMT (35kb)

Title: Selective orders in central simple algebras
Authors: Benjamin Linowitz and Thomas R. Shemanske
Categories: math.NT math.RA
\\ ( http://arxiv.org/abs/1204.2526 , 35kb)
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\\
arXiv:1410.3171
replaced with revised version Fri, 6 Nov 2015 02:38:57 GMT (26kb)

Title: Ramification Theory for Artin-Schreier Extensions of Valuation Rings
Authors: Vaidehee Thatte
Categories: math.NT
Comments: 26 pages. Significant changes to the defect example, re-ordering
of
sections and some important corrections
\\ ( http://arxiv.org/abs/1410.3171 , 26kb)
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\\
arXiv:1410.7008
replaced with revised version Fri, 6 Nov 2015 11:22:46 GMT (19kb)

Title: An improved analytic Method for calculating $\pi(x)$
Authors: Jan B\"uthe
Categories: math.NT math.NA
Comments: 21 pages, v2 is a rewrite of v1, title changed from 'A practical
analytic method for calculating $\pi(x)$ II' to 'An improved analytic
Method
for calculating $\pi(x)$
MSC-class: Primary 11Y35, Secondary 11Y70
\\ ( http://arxiv.org/abs/1410.7008 , 19kb)
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\\
arXiv:1503.01277
replaced with revised version Fri, 6 Nov 2015 11:26:15 GMT (11kb)

Title: On the first sign change in Mertens' Theorem
Authors: Jan B\"uthe
Categories: math.NT
Comments: 12 pages, final version
MSC-class: 11N05, 11Y35, 11M26
Journal-ref: Acta Arith. 171 (2015), 183-195
DOI: 10.4064/aa171-2-5
\\ ( http://arxiv.org/abs/1503.01277 , 11kb)
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arXiv:1506.07935
replaced with revised version Fri, 6 Nov 2015 10:02:10 GMT (44kb)

Title: Iwasawa theory and zeta elements for $\mathbb{G}_m$
Authors: David Burns, Masato Kurihara and Takamichi Sano
Categories: math.NT
\\ ( http://arxiv.org/abs/1506.07935 , 44kb)
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arXiv:1507.04058
replaced with revised version Fri, 6 Nov 2015 18:09:54 GMT (77kb,D)

Title: Computation of Integral Bases
Authors: Jens-Dietrich Bauch
Categories: math.NT
Comments: 22 pages, 4 figures
MSC-class: 11R04, 11Y40, 14G15, 14H05
\\ ( http://arxiv.org/abs/1507.04058 , 77kb)
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\
arXiv:1511.00020
replaced with revised version Thu, 5 Nov 2015 21:07:36 GMT (6kb)

Title: A quadratic hypergeometric 2F1 transformation over finite fields
Authors: Ron Evans and John Greene
Categories: math.NT
Comments: Changed title and description of reference [5]
MSC-class: 11T24, 33C05
\\ ( http://arxiv.org/abs/1511.00020 , 6kb)
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arXiv:1502.02002
replaced with revised version Fri, 6 Nov 2015 08:48:22 GMT (33kb)

Title: About the convolution of distributions on groupoids
Authors: Jean-Marie Lescure (LMBP), Dominique Manchon (LMBP), St\'ephane
Vassout (IMJ)
Categories: math.OA math.DG
\\ ( http://arxiv.org/abs/1502.02002 , 33kb)
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arXiv:1505.04688
replaced with revised version Fri, 6 Nov 2015 16:43:34 GMT (24kb)

Title: Ergodic theorems in quantum probability: an application to the
monotone
stochastic processes
Authors: Vitonofrio Crismale, Francesco Fidaleo and Yun Gang Lu
Categories: math.OA math.PR quant-ph
Comments: 31 pages, some misprints corrected, accepted on: Annali della
Scuola
Normale Superiore di Pisa, Classe di Scienze
MSC-class: 60G10, 46L55, 37A30, 46L30, 46N50
DOI: 10.2422/2036-2145.201506_009
\\ ( http://arxiv.org/abs/1505.04688 , 24kb)
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arXiv:1311.1562
replaced with revised version Fri, 6 Nov 2015 05:15:26 GMT (27kb)

Title: Stationary Markov Perfect Equilibria in Discounted Stochastic Games
Authors: Wei He and Yeneng Sun
Categories: math.OC q-fin.GN
Comments: 31 pages
\\ ( http://arxiv.org/abs/1311.1562 , 27kb)
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arXiv:1403.3564
replaced with revised version Fri, 6 Nov 2015 11:56:42 GMT (30kb)

Title: Feedback theory extended for proving generation of contraction
semigroups
Authors: Mikael Kurula, Hans Zwart
Categories: math.OC math.FA
Comments: 33 pages
MSC-class: Primary 93B52, 93C05, Secondary 93C20, 35F05
\\ ( http://arxiv.org/abs/1403.3564 , 30kb)
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arXiv:1408.0202
replaced with revised version Fri, 6 Nov 2015 20:48:37 GMT (440kb)

Title: Analysis of Recurrent Linear Networks for Enabling Compressed
Sensing of
Time-Varying Signals
Authors: MohammadMehdi Kafashan, Anirban Nandi and ShiNung Ching
Categories: math.OC
Comments: 12 pages, 9 figures
\\ ( http://arxiv.org/abs/1408.0202 , 440kb)
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arXiv:1502.03123
replaced with revised version Fri, 6 Nov 2015 17:10:22 GMT (1291kb,D)

Title: A Universal Primal-Dual Convex Optimization Framework
Authors: Alp Yurtsever, Quoc Tran-Dinh, Volkan Cevher
Categories: math.OC
Comments: 18 pages, 2 figures (accepted for NIPS-2015)
Report-no: LIONS-EPFL 2015a
Journal-ref: NIPS 2015
\\ ( http://arxiv.org/abs/1502.03123 , 1291kb)
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arXiv:1510.05819
replaced with revised version Fri, 6 Nov 2015 14:42:30 GMT (2042kb,D)

Title: Multiobjective Optimal Control Methods for Fluid Flow Using Reduced
Order Modeling
Authors: Sebastian Peitz and Sina Ober-Bl\"obaum and Michael Dellnitz
Categories: math.OC
Comments: 26 pages, 14 figures, 1 table Update 11/06/2015: Removed typos
MSC-class: 49M37, 49M05, 76B75, 90C29
\\ ( http://arxiv.org/abs/1510.05819 , 2042kb)
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\\
arXiv:1202.0045
replaced with revised version Thu, 5 Nov 2015 22:54:44 GMT (264kb,D)

Title: Shortest Path through Random Points
Authors: Sung Jin Hwang, Steven B. Damelin, Alfred O. Hero III
Categories: math.PR
MSC-class: 60F15 (Primary), 60C05, 53B21 (Secondary)
\\ ( http://arxiv.org/abs/1202.0045 , 264kb)
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arXiv:1309.0494
replaced with revised version Fri, 6 Nov 2015 10:25:13 GMT (161kb,D)

Title: Scaling Limits of Coalescent Processes Near Time Zero
Authors: Bati Sengul
Categories: math.PR
Comments: 29 pages, 4 figures
MSC-class: 60J80, 60J99, 60F99
\\ ( http://arxiv.org/abs/1309.0494 , 161kb)
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arXiv:1410.0500
replaced with revised version Fri, 6 Nov 2015 15:05:47 GMT (15kb)

Title: Strong existence and uniqueness of the stationary distribution for a
stochastic inviscid dyadic model
Authors: Luisa Andreis, David Barbato, Francesca Collet, Marco Formentin,
Luigi
Provenzano
Categories: math.PR math.AP
Comments: 13 pages
\\ ( http://arxiv.org/abs/1410.0500 , 15kb)
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arXiv:math/0612431
replaced with revised version Fri, 6 Nov 2015 12:32:50 GMT (29kb)

Title: Formality theorem for quantizations of Lie bialgebras
Authors: S.A. Merkulov
Categories: math.QA
Comments: The title of the paper has been changed and made more precise. The
journal version
Report-no: MPIM2006-151
\\ ( http://arxiv.org/abs/math/0612431 , 29kb)
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arXiv:1404.4623
replaced with revised version Fri, 6 Nov 2015 13:19:30 GMT (40kb)

Title: Torsion pairs in a triangulated category generated by a spherical
object
Authors: Raquel Coelho Simoes and David Pauksztello
Categories: math.RT math.CO
Comments: v2: 36 pages, 11 figures, added Section 4 which deals with
extensions
whose outer terms are decomposable, minor changes in presentation,
accepted
in J. Algebra
MSC-class: 05E10, 18E30, 18E40, 16G20, 16G70
\\ ( http://arxiv.org/abs/1404.4623 , 40kb)
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arXiv:1510.08727
replaced with revised version Fri, 6 Nov 2015 16:50:12 GMT (450kb)

Title: On the existence of regular vectors
Authors: Christoph Zellner
Categories: math.RT
\\ ( http://arxiv.org/abs/1510.08727 , 450kb)
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arXiv:1510.07212
replaced with revised version Thu, 5 Nov 2015 23:20:55 GMT (0kb,I)

Title: Topological extension of Calabi homomorphism and non-simpleness of
the
area-preserving homeomorphism group of two-disc
Authors: Yong-Geun Oh
Categories: math.SG math.DS
Comments: This paper has been withdrawn by the author due to the misuse of
the
equation (5.4) in the formula (6.5) which kills the idea of `mass
transfer'
MSC-class: 53D05, 53D35, 37E30
\\ ( http://arxiv.org/abs/1510.07212 , 0kb)
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arXiv:1510.06951
replaced with revised version Fri, 6 Nov 2015 20:46:20 GMT (2730kb)

Title: On the average uncertainty for systems with nonlinear coupling
Authors: Kenric P. Nelson, Sabir Umarov, and Mark A. Kon
Categories: math.ST math.PR stat.TH
Comments: 23 pages, including 3 figures and 1 table
\\ ( http://arxiv.org/abs/1510.06951 , 2730kb)
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arXiv:1510.08178
replaced with revised version Fri, 6 Nov 2015 04:09:45 GMT (917kb,D)

Title: Clustering Via Finite Nonparametric ICA Mixture Models
Authors: Xiaotian Zhu and David R. Hunter
Categories: math.ST stat.TH
Comments: 23 pages, 5 figures
MSC-class: 62G05 (Primary), 62H30 (Secondary)
\\ ( http://arxiv.org/abs/1510.08178 , 917kb)
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arXiv:1409.0439
replaced with revised version Fri, 6 Nov 2015 08:30:56 GMT (44kb)

Title: Linear duals of graded bundles and higher analogues of (Lie)
algebroids
Authors: Andrew James Bruce, Katarzyna Grabowska, Janusz Grabowski
Categories: math-ph math.DG math.MP math.QA math.SG
Comments: The preprint has been reworked and improved, including several
notational changes and further clarifying comments. 32 pages. Further
comments are welcomed
MSC-class: 53C10, 53D17, 55R10, 58A50
\\ ( http://arxiv.org/abs/1409.0439 , 44kb)
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arXiv:1508.02151 (*cross-listing*)
replaced with revised version Fri, 6 Nov 2015 03:10:57 GMT (145kb)

Title: General neck condition for the limit shape of budding vesicles
Authors: Pan Yang and Z. C. Tu
Categories: cond-mat.soft math.DG physics.bio-ph
Comments: 15 pages
\\ ( http://arxiv.org/abs/1508.02151 , 145kb)
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arXiv:1307.6245
replaced with revised version Fri, 6 Nov 2015 13:18:47 GMT (18kb)

Title: Root system of singular perturbations of the harmonic oscillator type
operators
Authors: Boris Mityagin and Petr Siegl
Categories: math.SP math-ph math.FA math.MP
Comments: 16 pages; extended Section 5; published version
MSC-class: 47A55, 47A70, 34L10
DOI: 10.1007/s11005-015-0805-7
\\ ( http://arxiv.org/abs/1307.6245 , 18kb)
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arXiv:1509.02610
replaced with revised version Fri, 6 Nov 2015 01:47:13 GMT (21kb)

Title: Hypercontractivity and the logarithmic Sobolev inequality for the
completely bounded norm
Authors: Salman Beigi, Christopher King
Categories: math-ph math.FA math.MP quant-ph
Comments: 27 pages, V3 minor changes
Journal-ref: J. Math. Phys. 57, 015206 (2016)
DOI: 10.1063/1.4934729
\\ ( http://arxiv.org/abs/1509.02610 , 21kb)
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arXiv:1507.06278 (*cross-listing*)
replaced with revised version Fri, 6 Nov 2015 05:10:24 GMT (19kb)

Title: Some Nearly Quantum Theories
Authors: Howard Barnum, Matthew A. Graydon, Alexander Wilce
Categories: quant-ph math-ph math.MP
Comments: In Proceedings QPL 2015, arXiv:1511.01181
Journal-ref: EPTCS 195, 2015, pp. 59-70
DOI: 10.4204/EPTCS.195.5
\\ ( http://arxiv.org/abs/1507.06278 , 19kb)
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arXiv:1502.03475 (*cross-listing*)
replaced with revised version Fri, 6 Nov 2015 00:53:37 GMT (4523kb,D)

Title: Combinatorial Bandits Revisited
Authors: Richard Combes and M. Sadegh Talebi and Alexandre Proutiere and
Marc
Lelarge
Categories: cs.LG math.OC stat.ML
Comments: 30 pages, Advances in Neural Information Processing Systems 28
(NIPS
2015)
\\ ( http://arxiv.org/abs/1502.03475 , 4523kb)
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arXiv:1411.4039 (*cross-listing*)
replaced with revised version Fri, 6 Nov 2015 16:32:39 GMT (22kb)

Title: Modular properties of characters of the W3 algebra
Authors: Nicholas J. Iles and G\'erard M. T. Watts
Categories: hep-th math.QA
Comments: 20 pages. v2: 23 pages
Report-no: KCL-MTH-14-19
\\ ( http://arxiv.org/abs/1411.4039 , 22kb)
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