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arXiv · 2208.09146

Entropy Formulae on Feldman-Katok Metric of Random Dynamical Systems

Yunxiang Xie·Ercai Chen·Kexiang Yang
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Abstract

In this paper, we study the Feldman-Katok metric in random dynamical systems and establish corresponding fiber topological entropy formula, Brin-Katok local entropy formula and fiber Katok entropy formula by replacing Bowen metric with Feldman-Katok metric. It turns out that the Feldman-Katok metric is also the weakest metric that makes the entropy formulae valid on random dynamical systems.

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Yunxiang Xie, Ercai Chen, Kexiang Yang. 2022-08-19. Entropy Formulae on Feldman-Katok Metric of Random Dynamical Systems. https://arxiv.org/abs/2208.09146

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