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arXiv · 2010.11654

Time-restricted sensitivity and entropy

Kairan Liu·Leiye Xu·Ruifeng Zhang
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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.

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Kairan Liu, Leiye Xu, Ruifeng Zhang. 2020-10-22. Time-restricted sensitivity and entropy. https://arxiv.org/abs/2010.11654

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