More on tame dynamical systems
Dynamical Systems
2023-02-21 v1 Functional Analysis
General Topology
Abstract
In this work, on the one hand, we survey and amplify old results concerning tame dynamical systems and, on the other, prove some new results and exhibit new examples of such systems. In particular, we study tame symbolic systems and establish a neat characterization of tame subshifts. We also provide sufficient conditions which ensure that certain coding functions are tame. Finally we discuss examples where certain universal dynamical systems associated with some Polish groups are tame.
Cite
@article{arxiv.2302.09571,
title = {More on tame dynamical systems},
author = {Eli Glasner and Michael Megrelishvili},
journal= {arXiv preprint arXiv:2302.09571},
year = {2023}
}
Comments
32 pages, revised proof of Theorem 6.8. arXiv admin note: substantial text overlap with arXiv:1405.2588