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July 2003 On drift and entropy growth for random walks on groups
Anna Erschler
Ann. Probab. 31(3): 1193-1204 (July 2003). DOI: 10.1214/aop/1055425775

Abstract

In this paper we consider drift and entropy growth for symmetric finitary random walks on finitely generated groups. We construct examples of various intermediate asymptotics of the drift for such random walks. We establish general inequalities which connect drift, entropy and exponential growth rate of groups. Then we apply these inequalities to get estimates for entropy in particular examples.

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Anna Erschler. "On drift and entropy growth for random walks on groups." Ann. Probab. 31 (3) 1193 - 1204, July 2003. https://doi.org/10.1214/aop/1055425775

Information

Published: July 2003
First available in Project Euclid: 12 June 2003

zbMATH: 1043.60005
MathSciNet: MR1988468
Digital Object Identifier: 10.1214/aop/1055425775

Subjects:
Primary: 43A05, ‎43A07‎, 60B99

Rights: Copyright © 2003 Institute of Mathematical Statistics

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Vol.31 • No. 3 • July 2003
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