Sequence entropy for amenable group actions* *C Liu is partially supported by NNSF of China (12090012, 12090010). K Yan is supported by NNSF of China (11861010, 12171175), NSF of Guangxi Province (2018GXNSFFA281008)and Project of First Class Disciplines of Statistics and Guangxi Key Laboratory of Quantity Economics.

Kesong Yan,Chunlin Liu

doi:10.1088/1402-4896/ad0f05

Sequence entropy for amenable group actions* *C Liu is partially supported by NNSF of China (12090012, 12090010). K Yan is supported by NNSF of China (11861010, 12171175), NSF of Guangxi Province (2018GXNSFFA281008)and Project of First Class Disciplines of Statistics and Guangxi Key Laboratory of Quantity Economics.

Kesong Yan, Chunlin Liu

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https://doi.org/10.1088/1402-4896/ad0f05

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Journal: Physica Scripta	Publication Date: Dec 1, 2023
License type: iop-standard

Affiliation: Guangxi University of Finance and Economics, University of Science and Technology of China

#Sequence Entropy #Topological Sense + Show 8 more

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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 in the topological sense.

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