SRB measures for mostly expanding partially hyperbolic diffeomorphisms via the variational approach
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866913259667324928 |
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| author | Burguet, David Yang, Dawei |
| author_facet | Burguet, David Yang, Dawei |
| contents | By using the variational approach, we prove the existence of Sinai-Ruelle-Bowen measures for partially hyperbolic $\mathcal C^1$ diffeomorphisms with mostly expanding properties. The same conclusion holds true if one considers a dominated splitting $E\oplus F$, where $\dim E=1$ and $F$ is mostly expanding. When the diffeomorphisms are $\mathcal C^{1+α}$, we prove the basin covering property for both cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_14433 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | SRB measures for mostly expanding partially hyperbolic diffeomorphisms via the variational approach Burguet, David Yang, Dawei Dynamical Systems By using the variational approach, we prove the existence of Sinai-Ruelle-Bowen measures for partially hyperbolic $\mathcal C^1$ diffeomorphisms with mostly expanding properties. The same conclusion holds true if one considers a dominated splitting $E\oplus F$, where $\dim E=1$ and $F$ is mostly expanding. When the diffeomorphisms are $\mathcal C^{1+α}$, we prove the basin covering property for both cases. |
| title | SRB measures for mostly expanding partially hyperbolic diffeomorphisms via the variational approach |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2311.14433 |