Time-restricted sensitivity and entropy
Dynamical Systems
2020-10-23 v1
Abstract
In this paper, we consider measure-theoretical restricted sensitivity and topological restricted sensitivities by restricting the first sensitive time. For a given topological dynamical system, we define measure-theoretical restricted asymptotic rate with respect to sensitivity, and obtain that it equal to the reciprocal of the Brin-Katok local entropy for almost every point. For topological version we have similar definitions and conclusions.
Keywords
Cite
@article{arxiv.2010.11654,
title = {Time-restricted sensitivity and entropy},
author = {Kairan Liu and Leiye Xu and Ruifeng Zhang},
journal= {arXiv preprint arXiv:2010.11654},
year = {2020}
}