Minimal amenable subshift with full mean topological dimension

被引：0
|
作者：
Yin, Zhengyu [1 ]
Xiao, Zubiao [2 ]
机构：
[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China
[2] Fuzhou Univ, Sch Math & Stat, Fuzhou 350116, Peoples R China
来源：
NONLINEARITY | 2024年 / 37卷 / 11期
关键词：
dynamical systems; amenable groups; tiling; minimal subshifts; mean topological dimension; ENTROPY;
D O I：
10.1088/1361-6544/ad7807
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let G be an infinite countable amenable group and P a polyhedron with the topological dimension dim(P) < infinity. We construct a minimal subshift (X, G) of (P-G, G) such that its mean topological dimension is equal to dim(P). This result answers the question of Dou (2017 Discrete Contin. Dyn. Syst. 37 1411-24). Moreover, it extends the work of Jin and Qiao (2023 arXiv:2102.10339) for Z-action.
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页数：15
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