Critical constants for recurrence of random walks on \(G\)-spaces.

DOI10.5802/aif.2105zbMath1133.20031OpenAlexW4298869767MaRDI QIDQ1777622

A. G. Erschler

Publication date: 25 May 2005

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

Full work available at URL: http://www.numdam.org/item?id=AIF_2005__55_2_493_0

zbMATH Keywords

asymptotic behaviorgrowth of groupsGrigorchuk groupsbranch groupsasymptotic invariantsrandom walks on discrete groupsdrift growthentropy growth

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Measures on groups and semigroups, etc. (43A05) Asymptotic properties of groups (20F69) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items

Poisson-Furstenberg boundary and growth of groups ⋮ Almost invariance of distributions for random walks on groups ⋮ Homomorphisms to \(\mathbb R\) constructed from random walks ⋮ The rate of escape for random walks on polycyclic and metabelian groups ⋮ Groups of given intermediate word growth. ⋮ The Liouville property and Hilbertian compression ⋮ Isoperimetric inequalities, shapes of Følner sets and groups with Shalom's property \(H_{\mathrm{FD}}\) ⋮ Growth of periodic Grigorchuk groups

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