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A survey of results on random random walks on finite groups. (English) Zbl 1189.60016
Summary: 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.

MSC:
60B15 Probability measures on groups or semigroups, Fourier transforms, factorization
60-02 Research exposition (monographs, survey articles) pertaining to probability theory
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