Entropy Formulae on Feldman-Katok Metric of Random Dynamical Systems
Dynamical Systems
2022-08-22 v1
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.
Keywords
Cite
@article{arxiv.2208.09146,
title = {Entropy Formulae on Feldman-Katok Metric of Random Dynamical Systems},
author = {Yunxiang Xie and Ercai Chen and Kexiang Yang},
journal= {arXiv preprint arXiv:2208.09146},
year = {2022}
}