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Entropy Points and Applications for Free Semigroup Actions

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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… Click to show full 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 [23].

Keywords: free semigroup; semigroup actions; points applications; applications free; entropy points

Journal Title: Journal of Statistical Physics
Year Published: 2021

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