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The Furstenberg-Zimmer structure theorem for stationary random walks

2022/12/08 by Nikolai Edeko, Edeko, Nikolai
Mathematics · #37H05 #82C41 #Advanced Operator Algebra Research #Advanced Topology and Set Theory #Dynamical Systems (math.DS) #FOS: Mathematics #Functional Analysis (math.FA) #Representation Theory (math.RT) #Stochastic processes and statistical mechanics

paper · pdf · doi:10.48550/arxiv.2212.04353

openalex publication_date 2022/12/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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