Entropy points and applications for free semigroup actions
Dynamical Systems
2021-12-22 v1
Abstract
The aim of this manuscript is to study some local properties of the topological entropy of a free semigroup action. In order to do that we focus on the set of entropy points of a free semigroup action, show that this set carries the full entropy of the system (which, with respect to the chaocity of the system, gives a fundamental relevance to such set) and obtain many interesting properties of such set. Our results are inspired by the ones presented in \cite{YZ}.
Cite
@article{arxiv.2107.14260,
title = {Entropy points and applications for free semigroup actions},
author = {Fagner B. Rodrigues and Thomas Jacobus and Marcus V. Silva},
journal= {arXiv preprint arXiv:2107.14260},
year = {2021}
}