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arXiv · 2107.14260

Entropy points and applications for free semigroup actions

Fagner B. Rodrigues·Thomas Jacobus·Marcus V. Silva
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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}.

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Fagner B. Rodrigues, Thomas Jacobus, Marcus V. Silva. 2021-07-29. Entropy points and applications for free semigroup actions. https://doi.org/10.1007/s10955-021-02858-3

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