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arXiv · 2210.16044

Sequence entropy for amenable group actions

Chunlin Liu·Kesong Yan
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Abstract

We study the sequence entropy for amenable group actions and investigate systematically spectrum and several mixing concepts via sequence entropy both in measure-theoretic dynamical systems and topological dynamical systems. Moreover, we use sequence entropy pairs to characterize weakly mixing and null systems.

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Chunlin Liu, Kesong Yan. 2023-11-23. Sequence entropy for amenable group actions. https://doi.org/10.1088/1402-4896%2Fad0f05

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