Cogrowth and spectral gap of generic groups.

DOI10.5802/aif.2099zbMath1133.20032arXivmath/0401048OpenAlexW6356486MaRDI QIDQ1774118

Yann Ollivier

Publication date: 29 April 2005

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0401048

zbMATH Keywords

hyperbolic groupsfree groupsrandom walks on groupsrandom groupscogrowth exponents

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Generators, relations, and presentations of groups (20F05) Asymptotic properties of groups (20F69) Hyperbolic groups and nonpositively curved groups (20F67) Probabilistic methods in group theory (20P05)

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Random equations in free groups, SOME SMALL CANCELLATION PROPERTIES OF RANDOM GROUPS, Cogrowth for group actions with strongly contracting elements, GENERICITY OF FILLING ELEMENTS, Cubulating random groups at density less than $1/6$, Positive definite functions and cut-off for discrete groups

Cites Work

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