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The Furstenberg-Zimmer structure theorem for stationary random walks (2212.04353v1)
Published 8 Dec 2022 in math.DS, math.FA, and math.RT
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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