Minimal dispersion on the cube and the torus
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911904958513152 |
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| author | Arman, Andrii Litvak, Alexander E. |
| author_facet | Arman, Andrii Litvak, Alexander E. |
| contents | We improve some upper bounds for minimal dispersion on the cube and torus. /Our new ingredient is an improvement of a probabilistic lemma used to obtain upper bounds for dispersion in several previous works. Our new lemma combines a random and non-random choice of points in the cube. This leads to better upper bounds for the minimal dispersion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_02757 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Minimal dispersion on the cube and the torus Arman, Andrii Litvak, Alexander E. Metric Geometry 52B55, 52A23, 68Q25, 65Y20 We improve some upper bounds for minimal dispersion on the cube and torus. /Our new ingredient is an improvement of a probabilistic lemma used to obtain upper bounds for dispersion in several previous works. Our new lemma combines a random and non-random choice of points in the cube. This leads to better upper bounds for the minimal dispersion. |
| title | Minimal dispersion on the cube and the torus |
| topic | Metric Geometry 52B55, 52A23, 68Q25, 65Y20 |
| url | https://arxiv.org/abs/2406.02757 |