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April 2002 On random walks on wreath products
C. Pittet, L. Saloff-Coste
Ann. Probab. 30(2): 948-977 (April 2002). DOI: 10.1214/aop/1023481013

Abstract

Wreath products are a type of semidirect product. They play an important role in group theory. This paper studies the basic behavior of simple random walks on such groups and shows that these walks have interesting, somewhat exotic behaviors. The crucial fact is that the probability of return to the starting point of certain walks on wreath products is closely related to some functionals of the local times of a walk taking place on a simpler factor group.

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C. Pittet. L. Saloff-Coste. "On random walks on wreath products." Ann. Probab. 30 (2) 948 - 977, April 2002. https://doi.org/10.1214/aop/1023481013

Information

Published: April 2002
First available in Project Euclid: 7 June 2002

zbMATH: 1021.60004
MathSciNet: MR1905862
Digital Object Identifier: 10.1214/aop/1023481013

Subjects:
Primary: 20F65 , 60B15 , 60G51

Keywords: ‎amenable group , finitely generated groups , Local time , number of visited points , Random walk , wreath product

Rights: Copyright © 2002 Institute of Mathematical Statistics

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Vol.30 • No. 2 • April 2002
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