Rate of escape of random walks on wreath products and related groups.

DOI10.1214/aop/1068646371zbMath1051.60047OpenAlexW1994720697MaRDI QIDQ1433885

David Revelle

Publication date: 1 July 2004

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.aop/1068646371

Mathematics Subject Classification ID

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

Related Items

On random walks on wreath products ⋮ Random walks on groups and discrete subordination ⋮ Law of large numbers for the drift of the two-dimensional wreath product ⋮ The Poisson boundary of lamplighter random walks on trees ⋮ Rate of escape on the lamplighter tree ⋮ An introduction to the Ribe program ⋮ The rate of escape for random walks on polycyclic and metabelian groups ⋮ Isoperimetry for wreath products of Markov chains and multiplicity of selfintersections of random walks ⋮ Behaviors of entropy on finitely generated groups ⋮ Central limit theorems for Gromov hyperbolic groups ⋮ On drift and entropy growth for random walks on groups ⋮ The Liouville property and Hilbertian compression ⋮ Lamplighter random walks on fractals ⋮ Some limits related to random iterations of a lamplighter group ⋮ Random walks driven by low moment measures ⋮ A note on the Poisson boundary of lamplighter random walks ⋮ The wreath product of $\mathbb {Z}$ with $\mathbb {Z}$ has Hilbert compression exponent $\frac {2}{3}$ ⋮ Positive harmonic functions for semi-isotropic random walks on trees, lamplighter groups, and DL-graphs

Cites Work

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• A Lower Estimate for Central Probabilities on Polycyclic Groups
• Escape rate of brownian motion on riemanian manifolds
• Biased random walk on lamplighter groups and graphs

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