The Symbolic Extension Theory in Topological Dynamics  

作　　者：Tomasz DOWNAROWICZ Guo Hua ZHANG 

机构地区：[1]Faculty of Pure and Applied Mathematics,Wroclaw University of Science and Technology,Wybrze˙ze Wyspia′nskiego 27,50-370 Wroclaw,Poland [2]School of Mathematical Sciences and Shanghai Center for Mathematical Sciences,Fudan University,Shanghai 200433,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2022年第1期107-136,共30页数学学报（英文版）

基　　金：supported by National Science Center;Poland(Grant No.2018/30/M/ST1/00061);the Wroc law University of Science and Technology(Grant No.049U/0052/19);supported by National Natural Science Foundation of China(Grants Nos.11671094,11722103 and 11731003)。

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

关 键 词：Symbolic extension (symbolic)extension entropy function entropy structure superenvelope principal extension asymptotic h-expansiveness amenable group F?lner sequence tiling system quasi-symbolic extension residually finite group comparison property subexponential group 

分 类 号：O19[理学—数学]