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- W4288568519 abstract "We show that for any countable amenable group action, along F{o}lner sequences that have for any $c>1$ a two sided $c$-tempered tail, one have universal estimate for the probability that there are $n$ fluctuations in the ergodic averages of $L^{infty}$ functions, and this estimate gives exponential decay in $n$. Any two-sided F{o}lner sequence can be thinned out to satisfy the above property, and in particular, any countable amenble group admits such a sequence. This extends results of S. Kalikow and B. Weiss for $mathbb{Z}^{d}$ actions and of N. Moriakov for actions of groups with polynomial growth." @default.
- W4288568519 created "2022-07-29" @default.
- W4288568519 creator A5071369741 @default.
- W4288568519 date "2019-02-21" @default.
- W4288568519 modified "2023-09-27" @default.
- W4288568519 title "Fluctuations of ergodic averages for amenable group actions" @default.
- W4288568519 doi "https://doi.org/10.48550/arxiv.1902.07912" @default.
- W4288568519 hasPublicationYear "2019" @default.
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