Speed exponents of random walks on groups

Gideon Amir, Bálint Virág

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

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|Xn| nbeta. In fact, the speed can be set precisely to equal any nice prescribed function up to a constant factor.

Original languageEnglish
Pages (from-to)2567-2598
Number of pages32
JournalInternational Mathematics Research Notices
Volume2017
Issue number9
DOIs
StatePublished - 1 May 2017

Bibliographical note

Publisher Copyright:
© The Author(s) 2016. Published by Oxford University Press.

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