Minimal dispersion on the cube and the torus

Andrii Arman; Alexander E. Litvak

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arXiv · 2406.02757

Minimal dispersion on the cube and the torus

Andrii Arman·Alexander E. Litvak

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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.

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Andrii Arman, Alexander E. Litvak. 2024-06-04. Minimal dispersion on the cube and the torus. https://arxiv.org/abs/2406.02757

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