Analytic pseudo-rotations displaying ergodicity or emergence on the sphere and disk
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908454672662528 |
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| author | Delaporte, Yann |
| author_facet | Delaporte, Yann |
| contents | We construct analytic pseudo-rotations on the sphere and the disk with specific properties. We obtain analytic pseudo-rotations which are ergodic. Then, in opposition to ergodicity, we construct analytic pseudo-rotations which exhibit a maximum order of local emergence. To achieve this, we apply a principle introduced by Berger, based on the Approximation by Conjugacy method of Anosov-Katok. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_13029 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Analytic pseudo-rotations displaying ergodicity or emergence on the sphere and disk Delaporte, Yann Dynamical Systems We construct analytic pseudo-rotations on the sphere and the disk with specific properties. We obtain analytic pseudo-rotations which are ergodic. Then, in opposition to ergodicity, we construct analytic pseudo-rotations which exhibit a maximum order of local emergence. To achieve this, we apply a principle introduced by Berger, based on the Approximation by Conjugacy method of Anosov-Katok. |
| title | Analytic pseudo-rotations displaying ergodicity or emergence on the sphere and disk |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2507.13029 |