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VOL. 48 | 2006 Recurrence of cocycles and stationary random walks

## Abstract

We survey distributional properties of $\mathbb{R}^d$-valued cocycles of finite measure preserving ergodic transformations (or, equivalently, of stationary random walks in $\mathbb{R}^d$) which determine recurrence or transience.

## Information

Published: 1 January 2006
First available in Project Euclid: 28 November 2007

zbMATH: 1137.37004
MathSciNet: MR2306190

Digital Object Identifier: 10.1214/074921706000000112

Subjects:
Primary: 37A20, 60G50

Keywords: cocycles, Random walks