On equilibrium states for certain partially hyperbolic endomorphisms with one-dimensional center
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866911324197355520 |
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| author | Zhang, Yifan Zhu, Yujun |
| author_facet | Zhang, Yifan Zhu, Yujun |
| contents | In this paper, the equilibrium states for a non-degenerate $ C^2 $ partially hyperbolic endomorphism $f$ on a closed Riemannian manifold $M$ with one-dimensional center bundle are investigated. Applying the criterion of Climenhaga-Thompson (\cite{CT21}) and the method of Mongez-Pacifico (\cite{Mongez}), we use the techniques of inverse limit to obtain the uniqueness and robustness of equilibrium states for $f$ and any Hölder continuous potential satisfying certain conditions about the unstable pressure and stable pressure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_15253 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On equilibrium states for certain partially hyperbolic endomorphisms with one-dimensional center Zhang, Yifan Zhu, Yujun Dynamical Systems In this paper, the equilibrium states for a non-degenerate $ C^2 $ partially hyperbolic endomorphism $f$ on a closed Riemannian manifold $M$ with one-dimensional center bundle are investigated. Applying the criterion of Climenhaga-Thompson (\cite{CT21}) and the method of Mongez-Pacifico (\cite{Mongez}), we use the techniques of inverse limit to obtain the uniqueness and robustness of equilibrium states for $f$ and any Hölder continuous potential satisfying certain conditions about the unstable pressure and stable pressure. |
| title | On equilibrium states for certain partially hyperbolic endomorphisms with one-dimensional center |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2512.15253 |