The Poisson boundary of lamplighter random walks on trees

DOI10.1007/s10711-006-9104-xzbMath1125.60082arXivmath/0606046OpenAlexW1963659692MaRDI QIDQ2642674

Anders Karlsson, Wolfgang Woess

Publication date: 17 August 2007

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0606046

zbMATH Keywords

treeDirichlet problemPoisson boundaryrandom walkwreath product

Mathematics Subject Classification ID

Trees (05C05) Discrete potential theory (31C20) Boundary theory for Markov processes (60J50) Groups acting on trees (20E08)

Related Items (10)

Shannon's theorem for locally compact groups ⋮ Local limit theorem for a Markov additive process on with a null recurrent internal Markov chain ⋮ Lamplighter graphs do not admit harmonic functions of finite energy ⋮ A note on the Poisson boundary of lamplighter random walks ⋮ Poisson boundaries of lamplighter groups: proof of the Kaimanovich-Vershik conjecture ⋮ Random walks on the discrete affine group ⋮ Random walks of infinite moment on free semigroups ⋮ Sublinear deviation between geodesics and sample paths ⋮ Furstenberg entropy realizations for virtually free groups and lamplighter groups ⋮ The boundary of a square tiling of a graph coincides with the Poisson boundary

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