On the error bounds for visible points in some cut-and-project sets
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866913820524412928 |
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| author | Gringlaz, Ilya Kumar, Rishi Weiss, Barak |
| author_facet | Gringlaz, Ilya Kumar, Rishi Weiss, Barak |
| contents | We study points in cut-and-project sets which are visible from the origin, continuing a direction of inquiry initiated in [6,14] where the asymptotic density of visible points was investigated. We establish an error bound for the density of visible points in certain cases. We also prove that the set of visible points in irreducible cut-and-project sets with star-shaped windows is never relatively dense. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_02631 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the error bounds for visible points in some cut-and-project sets Gringlaz, Ilya Kumar, Rishi Weiss, Barak Dynamical Systems Number Theory We study points in cut-and-project sets which are visible from the origin, continuing a direction of inquiry initiated in [6,14] where the asymptotic density of visible points was investigated. We establish an error bound for the density of visible points in certain cases. We also prove that the set of visible points in irreducible cut-and-project sets with star-shaped windows is never relatively dense. |
| title | On the error bounds for visible points in some cut-and-project sets |
| topic | Dynamical Systems Number Theory |
| url | https://arxiv.org/abs/2505.02631 |