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The Symbolic Extension Theory in Topological Dynamics

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In this survey we will present the symbolic extension theory in topological dynamics, which was built over the past twenty years.

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Authors and Affiliations

  1. Faculty of Pure and Applied Mathematics, Wroclaw 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, P. R. China

    Guo Hua Zhang

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  1. Tomasz Downarowicz
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  2. Guo Hua Zhang
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Correspondence to Guo Hua Zhang.

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Tomasz Downarowicz is supported by National Science Center, Poland (Grant No. 2018/30/M/ST1/00061) and by the Wroclaw University of Science and Technology (Grant No. 049U/0052/19); Guohua Zhang is supported by National Natural Science Foundation of China (Grants Nos. 11671094, 11722103 and 11731003) 1) Corresponding author We remark that several typical classes of amenable groups, including residually finite amenable groups, satisfy the above mentioned property [94].

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Downarowicz, T., Zhang, G.H. The Symbolic Extension Theory in Topological Dynamics. Acta. Math. Sin.-English Ser. 38, 107–136 (2022). https://doi.org/10.1007/s10114-022-0311-7

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