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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.06053 |
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| _version_ | 1866917318110478336 |
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| author | Delaporte, Yann |
| author_facet | Delaporte, Yann |
| contents | We construct analytic symplectomorphisms on the sphere, the disk and the cylinder which are minimally ergodic (only 3 ergodic measures). To achieve this, we apply and generalize a principle introduced by Berger, based on the Approximation by Conjugacy method of Anosov-Katok. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_06053 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Analytic symplectomorphisms displaying minimal ergodicity on the sphere, cylinder and disk Delaporte, Yann Dynamical Systems We construct analytic symplectomorphisms on the sphere, the disk and the cylinder which are minimally ergodic (only 3 ergodic measures). To achieve this, we apply and generalize a principle introduced by Berger, based on the Approximation by Conjugacy method of Anosov-Katok. |
| title | Analytic symplectomorphisms displaying minimal ergodicity on the sphere, cylinder and disk |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2603.06053 |