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math.DS2022
The Furstenberg-Zimmer structure theorem for stationary random walks
Nikolai Edeko
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 mix…
math.DS2022
Distal systems in topological dynamics and ergodic theory
Nikolai Edeko, Henrik Kreidler
We generalize a result of Lindenstrauss on the interplay between measurable and topological dynamics which shows that every separable ergodic measurably distal dynamical system has…