Abstract
It is shown that a locally compact metrizable group $G$ is compact if and only if every random walk on $G$ is recurrent.
Citation
A. Brunel. D. Revuz. "Un Critere Probabiliste de Compacite Des Groupes." Ann. Probab. 2 (4) 745 - 746, August, 1974. https://doi.org/10.1214/aop/1176996618
Information
Published: August, 1974
First available in Project Euclid: 19 April 2007
zbMATH: 0292.60101
MathSciNet: MR420767
Digital Object Identifier: 10.1214/aop/1176996618
Keywords:
6066
,
conservative contraction
,
Locally compact groups
,
recurrent random walk
Rights: Copyright © 1974 Institute of Mathematical Statistics
