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Recurrence of cocycles and stationary random walks

Klaus Schmidt
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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.

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Klaus Schmidt. 2006-08-09. Recurrence of cocycles and stationary random walks. https://doi.org/10.1214/074921706000000112

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