The total length of the edges of a polyhedron
J. M. Hammersley (1951)
Compositio Mathematica
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J. M. Hammersley (1951)
Compositio Mathematica
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Laurent Bartholdi, Serge Cantat, Tullio Ceccherini-Silberstein, Pierre de la Harpe (1997)
Colloquium Mathematicae
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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.
Ryszard Grzaślewicz (1997)
Acta Universitatis Carolinae. Mathematica et Physica
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Tomáš Cipra (1987)
Kybernetika
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Andrzej Żuk (1997)
Colloquium Mathematicae
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We show that the norm of the random walk operator on the Cayley graph of the surface group in the standard presentation is bounded by 1/√g where g is the genus of the surface.