Random walks on the affine group of a homogeneous tree in the drift-free case

DOI10.1007/S10959-010-0323-6zbMath1237.60006OpenAlexW2121179660MaRDI QIDQ2428528

Konrad Kolesko, Dariusz Buraczewski

Publication date: 26 April 2012

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10959-010-0323-6

zbMATH Keywords

invariant measurerandom walkaffine grouphomogeneous tree

Mathematics Subject Classification ID

Trees (05C05) Sums of independent random variables; random walks (60G50) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Cites Work

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• On the invariant measure of the random difference equation \(X_{n} = a_{n}x_{n - 1} + b_{n}\) in the critical case
• Amenability, unimodularity, and the spectral radius of random walks on infinite graphs
• Random walks on the affine group of local fields and of homogeneous trees
• Renewal theory on the affine group of an oriented tree
• On invariant measures of stochastic recursions in a critical case
• Asymptotic properties of harmonic measures on homogeneous trees

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