Poisson-Furstenberg boundary of random walks on wreath products and free metabelian groups.

DOI10.4171/CMH/220zbMath1254.20037OpenAlexW2036427450MaRDI QIDQ620541

A. G. Erschler

Publication date: 19 January 2011

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/cmh/220

zbMATH Keywords

solvable groupsconditional entropyamenable groupslamplighter groupsPoisson boundariesexchangeable sigma algebrasrandom walks on discrete groups

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Measures on groups and semigroups, etc. (43A05) Extensions, wreath products, and other compositions of groups (20E22) Asymptotic properties of groups (20F69) Harmonic functions on Riemann surfaces (30F15) Means on groups, semigroups, etc.; amenable groups (43A07) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (7)

Law of large numbers for the drift of the two-dimensional wreath product ⋮ On the boundary at infinity for branching random walk ⋮ Asymptotic behaviors of random walks on countable groups ⋮ Non-triviality of the Poisson boundary of random walks on the group of Monod ⋮ Isoperimetric profiles and random walks on some groups defined by piecewise actions ⋮ Random walks on the discrete affine group ⋮ Furstenberg entropy realizations for virtually free groups and lamplighter groups

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