Speed exponents of random walks on groups

Gideon Amir; Bálint Virág

doi:10.1093/imrn/rnv378

Speed exponents of random walks on groups

Gideon Amir, Bálint Virág

Department of Mathematics

Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

Abstract

For every 3/4 ≤ β 1 we construct a finitely generated group so that the expected distance of the simple random walk from its starting point satisfies E|X_n| n^beta. In fact, the speed can be set precisely to equal any nice prescribed function up to a constant factor.

Original language	English
Pages (from-to)	2567-2598
Number of pages	32
Journal	International Mathematics Research Notices
Volume	2017
Issue number	9
DOIs	https://doi.org/10.1093/imrn/rnv378
State	Published - 1 May 2017

All Science Journal Classification (ASJC) codes

General Mathematics

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JO - International Mathematics Research Notices

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Speed exponents of random walks on groups

Abstract

All Science Journal Classification (ASJC) codes

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