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Tail variational principle and asymptotic h-expansiveness for amenable group actions

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Abstract

In this paper we prove the tail variational principle for actions of countable amenable groups. This allows us to extend some characterizations of asymptotic h-expansiveness from ℤ-actions to actions of countable amenable groups.

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Acknowledgements

The research of the first author is supported by the National Science Center, Poland (Grant HARMONIA No. 2018/30/M/ST1/00061) and by the Wrocław University of Science and Technology. The second author is supported by the National Natural Science Foundation of China (Grant No. 11731003).

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Authors and Affiliations

  1. Faculty of Pure and Applied Mathematics, Wrocław University of Science and Technology, Wybrzeże Wyspiańskiego 27, 50-370, Wrocław, Poland

    Tomasz Downarowicz

  2. School of Mathematical Sciences and Shanghai Center for Mathematical Sciences, Fudan University, Shanghai, 200433, China

    Guohua Zhang

Authors
  1. Tomasz Downarowicz
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  2. Guohua Zhang
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Corresponding author

Correspondence to Tomasz Downarowicz.

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Dedicated to Benjamin Weiss

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Downarowicz, T., Zhang, G. Tail variational principle and asymptotic h-expansiveness for amenable group actions. Isr. J. Math. 251, 301–325 (2022). https://doi.org/10.1007/s11856-022-2438-8

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  • DOI: https://doi.org/10.1007/s11856-022-2438-8

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