Anosov diffeomorphisms of open surfaces
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866915354147553280 |
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| author | Ovadia, Snir Ben DeWitt, Jonathan |
| author_facet | Ovadia, Snir Ben DeWitt, Jonathan |
| contents | We study the existence of Anosov diffeomorphisms on complete open surfaces. We show that under the assumptions of density of periodic points and uniform geometry that such diffeomorphisms have a system of Margulis measures, which are a holonomy invariant and dynamically invariant system of measures along the stable and unstable leaves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_16650 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Anosov diffeomorphisms of open surfaces Ovadia, Snir Ben DeWitt, Jonathan Dynamical Systems We study the existence of Anosov diffeomorphisms on complete open surfaces. We show that under the assumptions of density of periodic points and uniform geometry that such diffeomorphisms have a system of Margulis measures, which are a holonomy invariant and dynamically invariant system of measures along the stable and unstable leaves. |
| title | Anosov diffeomorphisms of open surfaces |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2407.16650 |