Strong Positive recurrence for potential and exponential mixing of equilibrium states of surface diffeomorphisms
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866908811917262848 |
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| author | Luo, Chiyi Yang, Dawei |
| author_facet | Luo, Chiyi Yang, Dawei |
| contents | In this paper, we study the strong positive recurrence property for a large class of potentials of $C^{\infty}$ surface diffeomorphisms with positive entropy. We establish several statistical properties of the corresponding equilibrium states, including exponential decay of correlations and effective intrinsic ergodicity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_04275 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Strong Positive recurrence for potential and exponential mixing of equilibrium states of surface diffeomorphisms Luo, Chiyi Yang, Dawei Dynamical Systems In this paper, we study the strong positive recurrence property for a large class of potentials of $C^{\infty}$ surface diffeomorphisms with positive entropy. We establish several statistical properties of the corresponding equilibrium states, including exponential decay of correlations and effective intrinsic ergodicity. |
| title | Strong Positive recurrence for potential and exponential mixing of equilibrium states of surface diffeomorphisms |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2602.04275 |