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.

引用

页数：15

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