Weak mixing of random walks on groups
type: Item
instance of: scholarly article
title: Weak mixing of random walks on groups
zbMATH Open document ID: 1037.60005
author: Christophe Cuny
published in: Journal of Theoretical Probability
publication date: 2004-03-15T00:00:00Z
review text: Let \(\mu\) be a probability measure on a locally compact \(\sigma\)-compact group. The authors prove that a random walk associated with \(\mu\) is weakly mixing if and only if it is ergodic and strictly aperiodic. The proof is based on results on the eigenvalues of the associated transition operators.
reviewed by: Michael Voit
Mathematics Subject Classification ID: 60B15
Mathematics Subject Classification ID: 60G50
zbMATH DE Number: 2057323
zbMATH Keywords: locally compact group
zbMATH Keywords: Haar measure
zbMATH Keywords: random walks
zbMATH Keywords: weak mixing
zbMATH Keywords: ergodic random walks
zbMATH Keywords: aperiodic random walks
MaRDI profile type: Publication
DOI: 10.1023/B:JOTP.0000012000.54810.D2
description: scientific article; zbMATH DE number 2057323