A new description of uniformly spread discrete sets
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912644330422272 |
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| author | Dudko, A. Favorov, S. |
| author_facet | Dudko, A. Favorov, S. |
| contents | We prove that each discrete set in the Euclidean space that has bounded changes under every translation is a bounded perturbation of a square lattice, i.e., a uniformly spread set in the sense of Laszkovich. In particular, the support of every Fourier quasicrystal with unit masses is uniformly spread. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_11061 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A new description of uniformly spread discrete sets Dudko, A. Favorov, S. Metric Geometry 52C35, 52C23 We prove that each discrete set in the Euclidean space that has bounded changes under every translation is a bounded perturbation of a square lattice, i.e., a uniformly spread set in the sense of Laszkovich. In particular, the support of every Fourier quasicrystal with unit masses is uniformly spread. |
| title | A new description of uniformly spread discrete sets |
| topic | Metric Geometry 52C35, 52C23 |
| url | https://arxiv.org/abs/2510.11061 |