An upper bound for the box dimension of the hyperbolic dynamics via unstable pressure
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866916253062397952 |
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| author | Qu, Congcong |
| author_facet | Qu, Congcong |
| contents | In this paper, we utilize the sub-additive unstable pressure to give an upper bound for the upper box dimension of the $C^1$ hyperbolic set on unstable manifolds. As a by-product, we give a new expression of the topological pressure. This work is inspired by \cite{FS, WCZ, CliPZ}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_13898 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | An upper bound for the box dimension of the hyperbolic dynamics via unstable pressure Qu, Congcong Dynamical Systems In this paper, we utilize the sub-additive unstable pressure to give an upper bound for the upper box dimension of the $C^1$ hyperbolic set on unstable manifolds. As a by-product, we give a new expression of the topological pressure. This work is inspired by \cite{FS, WCZ, CliPZ}. |
| title | An upper bound for the box dimension of the hyperbolic dynamics via unstable pressure |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2306.13898 |