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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2602.15719 |
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| _version_ | 1866915802525990912 |
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| author | Kanigowski, Adam Okunev, Alexey Zelada, Rigoberto |
| author_facet | Kanigowski, Adam Okunev, Alexey Zelada, Rigoberto |
| contents | Let $(ϕ_t)$ be an area-preserving smooth flow on a compact, connected, orientable surface $\mathcal M$ with at least one but finitely many fixed points. Assume that $(ϕ_t)$ is analytic (up to a canonical change of coordinates) in the neighborhood of each saddle fixed point. We show that the flow $(ϕ_t)$ is weakly mixing on each of its (finitely many) quasi-minimal components. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_15719 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Weak mixing for area preserving flows on surfaces Kanigowski, Adam Okunev, Alexey Zelada, Rigoberto Dynamical Systems Let $(ϕ_t)$ be an area-preserving smooth flow on a compact, connected, orientable surface $\mathcal M$ with at least one but finitely many fixed points. Assume that $(ϕ_t)$ is analytic (up to a canonical change of coordinates) in the neighborhood of each saddle fixed point. We show that the flow $(ϕ_t)$ is weakly mixing on each of its (finitely many) quasi-minimal components. |
| title | Weak mixing for area preserving flows on surfaces |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2602.15719 |