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arXiv:1711.05452 [math.DS]AbstractReferencesReviewsResources

On the isomorphism problem for non-ergodic systems with discrete spectrum

Nikolai Edeko

Published 2017-11-15Version 1

We generalize the classical Halmos-von Neumann theorem on ergodic measure-preserving dynamical systems with discrete spectrum to non-ergodic systems. We give an answer to the isomorphism problem for such systems and obtain similar results for topological dynamical systems in the process.

Categories: math.DS
Subjects: 37A05, 37B05
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