A note on the Poisson boundary of lamplighter random walks

DOI10.1007/s00605-009-0103-5zbMath1191.60088arXiv0902.2285OpenAlexW3098997887MaRDI QIDQ2270145

Ecaterina Sava-Huss

Publication date: 15 March 2010

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.2285

zbMATH Keywords

Poisson boundaryrandom walklamplighter groupwreath product

Mathematics Subject Classification ID

Trees (05C05) Boundary theory for Markov processes (60J50) Groups acting on trees (20E08) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (4)

Random walks on Baumslag-Solitar groups ⋮ Existence of the harmonic measure for random walks on graphs and in random environments ⋮ Lamplighter graphs do not admit harmonic functions of finite energy ⋮ Random walks on the discrete affine group

Cites Work

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• The lamplighter group as a group generated by a 2-state automaton, and its spectrum
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