The Furstenberg-Zimmer structure theorem for stationary random walks
Dynamical Systems
2022-12-09 v1 Functional Analysis
Representation Theory
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.
Keywords
Cite
@article{arxiv.2212.04353,
title = {The Furstenberg-Zimmer structure theorem for stationary random walks},
author = {Nikolai Edeko},
journal= {arXiv preprint arXiv:2212.04353},
year = {2022}
}