arXiv Analytics

Sign in

arXiv:2208.09146 [math.DS]AbstractReferencesReviewsResources

Entropy Formulae on Feldman-Katok Metric of Random Dynamical Systems

Yunxiang Xie, Ercai Chen, Kexiang Yang

Published 2022-08-19Version 1

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.

Categories: math.DS
Related articles: Most relevant | Search more
arXiv:1510.04357 [math.DS] (Published 2015-10-15)
Extreme Value Laws for non stationary processes generated by sequential and random dynamical systems
arXiv:2210.08967 [math.DS] (Published 2022-10-17)
Characterization of SRB Measures for Random Dynamical Systems on Banach space
arXiv:2006.15397 [math.DS] (Published 2020-06-27)
Lyapunov exponent of random dynamical systems on the circle

Links

Toolbox