Minimal dispersion on the cube and the torus
Metric Geometry
2024-06-06 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2406.02757,
title = {Minimal dispersion on the cube and the torus},
author = {Andrii Arman and Alexander E. Litvak},
journal= {arXiv preprint arXiv:2406.02757},
year = {2024}
}
Comments
10 pages, 1 figure