Csóka, Endre (2025) Block Partitions in Higher Dimensions. DISCRETE AND COMPUTATIONAL GEOMETRY. pp. 1-6. ISSN 0179-5376 (nyomtatott); 1432-0444 (online)
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Official URL: https://doi.org/10.1007/s00454-025-00732-7
Abstract
Consider a set X ⊆ Rd which is 1-dense, namely, it intersects every open unit ball. We show that for any n ∈ N, we can get from any point to any other point in Rd in n steps so that the intermediate points are in X, and the discrepancy of the step vectors is at most 2√2.
| Item Type: | Article |
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| Uncontrolled Keywords: | Convex body, Maximal block, Discrepancy, Sequences |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 02 Apr 2026 14:14 |
| Last Modified: | 02 Apr 2026 14:14 |
| URI: | https://real.mtak.hu/id/eprint/236711 |
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