Ergodic theorem for nonstationary random walks on compact abelian groups (Q6583759)
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scientific article; zbMATH DE number 7892867
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ergodic theorem for nonstationary random walks on compact abelian groups |
scientific article; zbMATH DE number 7892867 |
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Ergodic theorem for nonstationary random walks on compact abelian groups (English)
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6 August 2024
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The author establishes a weak-* convergence to the Haar measure, an ergodic theorem and a large deviation estimate for nonstationary random walks on a compact metrizable abelian group (under a strict aperiodicity assumption for measures). The proof relies on the result of \textit{A. Gorodetski} and \textit{V. Kleptsyn} [Mosc. Math. J. 23, No. 4, 515--532 (2023; Zbl 1536.37003)].
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nonstationary random walk
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compact metrizable abelian group
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ergodic theory
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