Unique ergodicity for zero-entropy dynamical systems with the approximate product property
Dynamical Systems
2020-07-03 v3
Abstract
We show that for every topological dynamical system with the approximate product property, zero topological entropy is equivalent to unique ergodicity. Equivalence of minimality is also proved under a slightly stronger condition. Moreover, we show that unique ergodicity implies the approximate product property if the system has periodic points.
Keywords
Cite
@article{arxiv.1908.01149,
title = {Unique ergodicity for zero-entropy dynamical systems with the approximate product property},
author = {Peng Sun},
journal= {arXiv preprint arXiv:1908.01149},
year = {2020}
}
Comments
15 pages, final version