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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…
Uniform enveloping semigroupoids for groupoid actions
Nikolai Edeko, Henrik Kreidler
We establish new characterizations for (pseudo)isometric extensions of topological dynamical systems. For such extensions, we also extend results about relatively invariant measure…
On equicontinuous factors of flows on locally path-connected compact spaces
Nikolai Edeko
We consider a locally path-connected compact metric space with finite first Betti number and a flow on such that is abelian and all -invariant func…
On the isomorphism problem for non-ergodic systems with discrete spectrum
Nikolai Edeko
The article presents a new perspective on the isomorphism problem for non-ergodic measure-preserving dynamical systems with discrete spectrum which is based on the connection betwe…