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Application of Rayleigh's Short-Cut Method to Polya's Recurrence Problem [PDF]

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

Author:Peter Doyle
Description: Doyle's Ph.D. thesis at Dartmouth College, June 1982. The goals of the presentation are to explain why Polya's theorem is true and to develop techniques for applying Rayleigh's method. The main results make sense of the notion that if two graphs look alike, then random walk is transient on one if and only if it is transient on the other. PostScript and source for this paper are available from Doyle's site.

Levels: College, Research
Languages: English
Resource Types: Articles
Math Topics: Graph Theory, Order/Lattices

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