arXiv:2005.01548 Abstract | arXiv Analytics

arXiv:2005.01548 [math.DS]Abstract References Reviews Resources

Entropy and Emergence of Topological Dynamical Systems

Published 2020-05-04Version 1

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.

Comments: 26pages

Categories: math.DS

Keywords: topological dynamical system, entropy order, probability measure spaces, natural systems, variational principle

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