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Speed Exponents of Random Walks on Groups

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Publication:4611946
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DOI10.1093/imrn/rnv378zbMath1405.60007arXiv1203.6226OpenAlexW2963239308MaRDI QIDQ4611946

Gideon Amir, Bálint Virág

Publication date: 22 January 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.6226


zbMATH Keywords

simple random walkentropy problem


Mathematics Subject Classification ID

Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)


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Poisson-Furstenberg boundary and growth of groups ⋮ Law of large numbers for the drift of the two-dimensional wreath product ⋮ Asymptotic behaviors of random walks on countable groups ⋮ Unnamed Item ⋮ Speed of random walks, isoperimetry and compression of finitely generated groups ⋮ Extensive amenability and an application to interval exchanges ⋮ Isoperimetric inequalities, shapes of Følner sets and groups with Shalom's property \(H_{\mathrm{FD}}\) ⋮ Inverted orbits of exclusion processes, diffuse-extensive-amenability, and (non-?)amenability of the interval exchanges



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