Recurrence of cocycles and stationary random walks

Details Recurrence of cocycles and stationary random walks Recurrence of cocycles and stationary random walks

2006-08-09

arxiv.org/abs/math/0608221v1

IMS Lecture Notes--Monograph Series 2006, Vol. 48, 78-84

Mathematics

Dynamical Systems

Published at http://dx.doi.org/10.1214/074921706000000112 in the IMS Lecture Notes--Monograph Series (http://www.imstat.org/

Scientific paper

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.

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