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Random Walk on the Speiser Graph of a Riemann Surface [PDF]

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Visit this site: http://math.dartmouth.edu/~doyle/docs/speiser/speiser.pdf

Author:Peter G. Doyle
Description: 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.

Levels: College, Research
Languages: English
Resource Types: Articles, Bibliographies
Math Topics: Differential Geometry

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