论文标题

时间限制的灵敏度和熵

Time-restricted sensitivity and entropy

论文作者

Liu, Kairan, Xu, Leiye, Zhang, Ruifeng

论文摘要

在本文中,我们考虑通过限制第一个敏感时间来测量理论限制的灵敏度和拓扑限制的敏感性。对于给定的拓扑动力学系统,我们定义了对敏感性的测量理论限制渐近率,并获得了几乎每个点等于Brin-katok局部熵的相互量。对于拓扑版本,我们有类似的定义和结论。

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.

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