Shrinking targets on square-tiled surfaces
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866914715615100928 |
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| author | Southerland, Josh |
| author_facet | Southerland, Josh |
| contents | We study a shrinking target problem on square-tiled surfaces. We show that the action of a subgroup of the Veech group of a regular square-tiled surface exhibits Diophantine properties. This generalizes the work of Finkelshtein, who studied a similar problem on the flat torus. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2104_09634 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Shrinking targets on square-tiled surfaces Southerland, Josh Dynamical Systems Number Theory 37A46 (Primary) 11J56, 11J25 (Secondary) We study a shrinking target problem on square-tiled surfaces. We show that the action of a subgroup of the Veech group of a regular square-tiled surface exhibits Diophantine properties. This generalizes the work of Finkelshtein, who studied a similar problem on the flat torus. |
| title | Shrinking targets on square-tiled surfaces |
| topic | Dynamical Systems Number Theory 37A46 (Primary) 11J56, 11J25 (Secondary) |
| url | https://arxiv.org/abs/2104.09634 |