Entropy points and applications for free semigroup actions

Autor: Rodrigues, Fagner B., Jacobus, Thomas, Silva, Marcus V.
Rok vydání: 2021
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1007/s10955-021-02858-3
Popis: 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}.
Databáze: arXiv