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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
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Time-restricted sensitivity
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Asymptotic rate
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Entropy
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37A15
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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