Open Access
2005 A survey of results on random random walks on finite groups
Martin Hildebrand
Probab. Surveys 2: 33-63 (2005). DOI: 10.1214/154957805100000087


A number of papers have examined various aspects of “random random walks” on finite groups; the purpose of this article is to provide a survey of this work and to show, bring together, and discuss some of the arguments and results in this work. This article also provides a number of exercises. Some exercises involve straightforward computations; others involve proving details in proofs or extending results proved in the article. This article also describes some problems for further study.


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Martin Hildebrand. "A survey of results on random random walks on finite groups." Probab. Surveys 2 33 - 63, 2005.


Published: 2005
First available in Project Euclid: 28 February 2005

zbMATH: 1189.60016
MathSciNet: MR2121795
Digital Object Identifier: 10.1214/154957805100000087

Primary: 60-02
Secondary: 60B15

Keywords: Finite group , Fourier analysis , Random walk , upper bound lemma

Rights: Copyright © 2005 The Institute of Mathematical Statistics and the Bernoulli Society

Vol.2 • 2005
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