Time-Restricted Sensitivity and Entropy for Amenable Group Actions

Xiaochen Wang

Communications in Mathematics and Statistics ›› : 1 -21.

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Communications in Mathematics and Statistics ›› :1 -21. DOI: 10.1007/s40304-025-00479-w
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Time-Restricted Sensitivity and Entropy for Amenable Group Actions
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Abstract

In this paper, we study several types of time-restricted sensitivity both in measure-theoretical and topological settings for amenable group actions. We obtain some quantitative results between restricted asymptotic rates and entropies.

Keywords

Amenable group action / Time-restricted sensitivity / Asymptotic rate / Entropy / 37A15 / 37B40

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Xiaochen Wang. Time-Restricted Sensitivity and Entropy for Amenable Group Actions. Communications in Mathematics and Statistics 1-21 DOI:10.1007/s40304-025-00479-w

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School of Mathematical Sciences, University of Science and Technology of China and Springer-Verlag GmbH Germany, part of Springer Nature

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