Estimates for simple random walks on fundamental groups of surfaces
Colloquium Mathematicum, Tome 72 (1997) no. 1, pp. 173-193.

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Numerical estimates are given for the spectral radius of simple random walks on Cayley graphs. Emphasis is on the case of the fundamental group of a closed surface, for the usual system of generators.
DOI : 10.4064/cm-72-1-173-193
Keywords: simple random walk, surface group, spectral radius

Laurent Bartholdi 1 ; Serge Cantat 1 ; Tullio Ceccherini-Silberstein 1 ; Pierre de la Harpe 1

1
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Laurent Bartholdi; Serge Cantat; Tullio Ceccherini-Silberstein; Pierre de la Harpe. Estimates for simple random walks on fundamental groups of surfaces. Colloquium Mathematicum, Tome 72 (1997) no. 1, pp. 173-193. doi : 10.4064/cm-72-1-173-193. http://geodesic.mathdoc.fr/articles/10.4064/cm-72-1-173-193/

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