Minimal amenable subshift with full mean dimension
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909222438961152 |
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| author | Yin, Zhengyu Xiao, Zubiao |
| author_facet | Yin, Zhengyu Xiao, Zubiao |
| contents | Let $G$ be an infinite countable amenable group and $P$ a polyhedron with topological dimension $dim(P)<\infty$. We construct a minimal subshift $(X,G)$ such that its mean topological dimension is equal to $dim(P)$. This result answers the question of D. Dou in \cite{DD}, moreover, it is also an extension of the work of L. Jin and Y. Qiao \cite{JQ} for $\mathbb{Z}$-action. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_08280 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Minimal amenable subshift with full mean dimension Yin, Zhengyu Xiao, Zubiao Dynamical Systems Let $G$ be an infinite countable amenable group and $P$ a polyhedron with topological dimension $dim(P)<\infty$. We construct a minimal subshift $(X,G)$ such that its mean topological dimension is equal to $dim(P)$. This result answers the question of D. Dou in \cite{DD}, moreover, it is also an extension of the work of L. Jin and Y. Qiao \cite{JQ} for $\mathbb{Z}$-action. |
| title | Minimal amenable subshift with full mean dimension |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2406.08280 |