Variational principle for neutralized Bowen topological entropy
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866910389296431104 |
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| author | Yang, Rui Chen, Ercai Zhou, Xiaoyao |
| author_facet | Yang, Rui Chen, Ercai Zhou, Xiaoyao |
| contents | Ovadia and Rodriguez-Hertz defined neutralized Bowen open ball as $$B_n(x,e^{-nε})=\{y\in X: d(T^jx, T^jy)<e^{-nε}, \forall 0\leq j\leq n-1\}.$$ We introduce the notion of neutralized Bowen topological entropy of subsets by neutralized Bowen open ball, and establish variational principles for neutralized Bowen topological entropy of compact subsets in terms of neutralized Brin-Katok local entropy and neutralized Katok's entropy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_01738 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Variational principle for neutralized Bowen topological entropy Yang, Rui Chen, Ercai Zhou, Xiaoyao Dynamical Systems Ovadia and Rodriguez-Hertz defined neutralized Bowen open ball as $$B_n(x,e^{-nε})=\{y\in X: d(T^jx, T^jy)<e^{-nε}, \forall 0\leq j\leq n-1\}.$$ We introduce the notion of neutralized Bowen topological entropy of subsets by neutralized Bowen open ball, and establish variational principles for neutralized Bowen topological entropy of compact subsets in terms of neutralized Brin-Katok local entropy and neutralized Katok's entropy. |
| title | Variational principle for neutralized Bowen topological entropy |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2303.01738 |