On the topological pressure of axial product on trees
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866909500807577600 |
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| author | Ban, Jung-Chao Wu, Yu-Liang |
| author_facet | Ban, Jung-Chao Wu, Yu-Liang |
| contents | This article investigates the topological pressure of isotropic axial products of Markov subshifts on the $d$-tree. We show that the quantity increases with dimension $d$. To achieve this, we introduce the pattern distribution vectors and the associated transition matrices and partially transplant the large deviation theory to tree-shifts. Additionally, we apply our main result to a broader class of shift spaces, accompanied by numerical experiments for verification. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_10242 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the topological pressure of axial product on trees Ban, Jung-Chao Wu, Yu-Liang Dynamical Systems 37B10, 37B40 This article investigates the topological pressure of isotropic axial products of Markov subshifts on the $d$-tree. We show that the quantity increases with dimension $d$. To achieve this, we introduce the pattern distribution vectors and the associated transition matrices and partially transplant the large deviation theory to tree-shifts. Additionally, we apply our main result to a broader class of shift spaces, accompanied by numerical experiments for verification. |
| title | On the topological pressure of axial product on trees |
| topic | Dynamical Systems 37B10, 37B40 |
| url | https://arxiv.org/abs/2310.10242 |