Equivalence between sofic metric mean dimension and sofic $p$-metric mean dimension with a product formula
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911262695227392 |
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| author | Li, Xianqiang |
| author_facet | Li, Xianqiang |
| contents | In this paper, we prove the equivalence between sofic $p$-metric mean dimension and sofic metric mean dimension. This answers a question of Hayes in \cite{HB }. Furthermore, we establish the product formula for the sofic $p$-metric mean dimension. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_02347 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Equivalence between sofic metric mean dimension and sofic $p$-metric mean dimension with a product formula Li, Xianqiang Classical Analysis and ODEs Dynamical Systems In this paper, we prove the equivalence between sofic $p$-metric mean dimension and sofic metric mean dimension. This answers a question of Hayes in \cite{HB }. Furthermore, we establish the product formula for the sofic $p$-metric mean dimension. |
| title | Equivalence between sofic metric mean dimension and sofic $p$-metric mean dimension with a product formula |
| topic | Classical Analysis and ODEs Dynamical Systems |
| url | https://arxiv.org/abs/2503.02347 |