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arXiv · 2212.04353

The Furstenberg-Zimmer structure theorem for stationary random walks

Nikolai Edeko
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Abstract

We prove the following version of the Furstenberg-Zimmer structure theorem for stationary actions: Any stationary action of a locally compact second-countable group is a weakly mixing extension of a measure-preserving distal system.

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Nikolai Edeko. 2022-12-08. The Furstenberg-Zimmer structure theorem for stationary random walks. https://arxiv.org/abs/2212.04353

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