Alexander E. Litvak

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math.MG2025

Minimal dispersion on the sphere

Alexander E. Litvak, Mathias Sonnleitner, Tomasz Szczepanski

The minimal spherical cap dispersion $disp_{C} (n, d)$ is the largest number $ε \in (0, 1]$ such that, for every $n$ points on the $d$ -dimensional Euclidean u…

math.MG2024

Minimal dispersion on the cube and the torus

Andrii Arman, Alexander E. Litvak

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…