Entropy and Emergence of Topological Dynamical Systems
Dynamical Systems
2020-05-08 v2
Abstract
A topological dynamical system 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 . We also consider the entropy order of an invariant measure and a variational principle is established.
Keywords
Cite
@article{arxiv.2005.01548,
title = {Entropy and Emergence of Topological Dynamical Systems},
author = {Yong Ji and Ercai Chen and Xiaoyao Zhou},
journal= {arXiv preprint arXiv:2005.01548},
year = {2020}
}
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