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arXiv · 2005.01548

Entropy and Emergence of Topological Dynamical Systems

Yong Ji·Ercai Chen·Xiaoyao Zhou
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Abstract

A topological dynamical system $(X,f)$ induces two natural systems, one is on the probability measure spaces and other one is on the hyperspace. We introduce a concept for these two spaces, which is called entropy order, and prove that it coincides with topological entropy of $(X,f)$. We also consider the entropy order of an invariant measure and a variational principle is established.

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Yong Ji, Ercai Chen, Xiaoyao Zhou. 2020-05-04. Entropy and Emergence of Topological Dynamical Systems. https://arxiv.org/abs/2005.01548

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