Some real Rel trajectories in $\mathcal{H}(1,1)$ that are not recurrent
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866917690667433984 |
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| author | Ospina, Carlos |
| author_facet | Ospina, Carlos |
| contents | We study the real Rel orbits of some translation surfaces in the stratum $\mathcal{H}(1,1)$. Specifically, surfaces that are tremors of the locus of branched double covers of tori. We give necessary and sufficient conditions on tremors of a surface so that the real Rel orbit is recurrent. As a consequence, we are able to provide explicit examples of trajectories of real Rel that are not recurrent. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_07495 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Some real Rel trajectories in $\mathcal{H}(1,1)$ that are not recurrent Ospina, Carlos Dynamical Systems We study the real Rel orbits of some translation surfaces in the stratum $\mathcal{H}(1,1)$. Specifically, surfaces that are tremors of the locus of branched double covers of tori. We give necessary and sufficient conditions on tremors of a surface so that the real Rel orbit is recurrent. As a consequence, we are able to provide explicit examples of trajectories of real Rel that are not recurrent. |
| title | Some real Rel trajectories in $\mathcal{H}(1,1)$ that are not recurrent |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2406.07495 |