Random Walk on the Speiser Graph of a Riemann Surface [PDF]
Library Home || Full Table of Contents || Suggest a Link || Library Help
|Peter G. Doyle|
|A paper that appeared in the Bulletin of the American Mathematical society, which considers the problem of determining the conformal type of a covering surface of the Riemann sphere with punctures. To such a surface there corresponds a Speiser graph of the covering. The paper shows how to define a random walk on the vertices of the graph, so that the random walk is transient if and only if the surface is hyperbolic. A PostScript file is available from Doyle's site.|
|Resource Types:||Articles, Bibliographies|
|Math Topics:||Differential Geometry|
© 1994-2013 Drexel University. All rights reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.