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- W1621167641 abstract "We present recent results about the asymptotic behavior of ergodic products of isometries of a metric space X. If we assume that the displacement is integrable, then either there is a sublinear diffusion or there is, for almost every trajectory in X, a preferred direction at the boundary. We discuss the precise statement when X is a proper metric space and compare it with classical ergodic theorems. Applications are given to ergodic theorems for nonintegrable functions, random walks on groups and Brownian motion on covering manifolds." @default.
- W1621167641 created "2016-06-24" @default.
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- W1621167641 date "2011-01-01" @default.
- W1621167641 modified "2023-09-24" @default.
- W1621167641 title "Noncommutative ergodic theorems" @default.
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