Open Access
VOL. 48 | 2006 Recurrence of cocycles and stationary random walks
Klaus Schmidt

Editor(s) Dee Denteneer, Frank den Hollander, Evgeny Verbitskiy

IMS Lecture Notes Monogr. Ser., 2006: 78-84 (2006) DOI: 10.1214/074921706000000112


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.


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

zbMATH: 1137.37004
MathSciNet: MR2306190

Digital Object Identifier: 10.1214/074921706000000112

Primary: 37A20 , 60G50

Keywords: cocycles , Random walks

Rights: Copyright © 2006, Institute of Mathematical Statistics

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