On the isomorphism problem for non-ergodic systems with discrete spectrum
Dynamical Systems
2018-01-08 v2
Abstract
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 between ergodic theory and topological dynamics constituted by topological models. By first solving the isomorphism problem for a certain class of topological dynamical systems, it is shown that the measure-preserving case can in fact be deduced from the topological one via the construction of topological models. As a byproduct, a new characterization of mean ergodicity for topological dynamical systems is obtained.
Cite
@article{arxiv.1711.05452,
title = {On the isomorphism problem for non-ergodic systems with discrete spectrum},
author = {Nikolai Edeko},
journal= {arXiv preprint arXiv:1711.05452},
year = {2018}
}
Comments
A paper by Kwiatkowski was kindly brought to my attention by Xiangdong Ye and has now been taken into account