Robustness and uniqueness of equilibrium states for certain partially hyperbolic systems
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866929615868526592 |
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| author | Mongez, Juan Carlos Pacifico, Maria José |
| author_facet | Mongez, Juan Carlos Pacifico, Maria José |
| contents | We prove that if $f$ is a $C^{1+}$ partially hyperbolic diffeomorphism satisfying certain conditions then there is a $C^1$-open neighborhood $\cA$ of $f$ so that every $g\in \cA\cap \operatorname{Diff}^{1+}(M)$ has a unique equilibrium state. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_12323 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Robustness and uniqueness of equilibrium states for certain partially hyperbolic systems Mongez, Juan Carlos Pacifico, Maria José Dynamical Systems 37D35 We prove that if $f$ is a $C^{1+}$ partially hyperbolic diffeomorphism satisfying certain conditions then there is a $C^1$-open neighborhood $\cA$ of $f$ so that every $g\in \cA\cap \operatorname{Diff}^{1+}(M)$ has a unique equilibrium state. |
| title | Robustness and uniqueness of equilibrium states for certain partially hyperbolic systems |
| topic | Dynamical Systems 37D35 |
| url | https://arxiv.org/abs/2306.12323 |