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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/2604.02649 |
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| _version_ | 1866910099490996224 |
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| author | Clotet, Sergi Burniol Dal'Bo, Françoise Vila, Sergio Herrero |
| author_facet | Clotet, Sergi Burniol Dal'Bo, Françoise Vila, Sergio Herrero |
| contents | We provide a corrected proof of a theorem of A. Bellis on strong stable sets in the unit tangent bundle of certain hyperbolic surfaces. The theorem states that, for vectors whose geodesic rays encounter arbitrarily short closed geodesics, the strong stable set in the dynamical sense does not coincide with the associated horocyclic orbit. The proof is based on Bellis' idea of constructing geodesic rays that wind around infinitely many closed geodesics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_02649 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Bellis strong stable sets on infinite hyperbolic surfaces Clotet, Sergi Burniol Dal'Bo, Françoise Vila, Sergio Herrero Dynamical Systems We provide a corrected proof of a theorem of A. Bellis on strong stable sets in the unit tangent bundle of certain hyperbolic surfaces. The theorem states that, for vectors whose geodesic rays encounter arbitrarily short closed geodesics, the strong stable set in the dynamical sense does not coincide with the associated horocyclic orbit. The proof is based on Bellis' idea of constructing geodesic rays that wind around infinitely many closed geodesics. |
| title | Bellis strong stable sets on infinite hyperbolic surfaces |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2604.02649 |