Alexander E. Litvak

activity

20242026

collaborators

4 papers

math.PR2026

An upper bound on the smallest singular value of dense random combinatorial matrices

Dongbin Li, Alexander E. Litvak, Tingzhou Yu

Let $M$ be an $n \times n$ random matrix with entries in ${0, 1}$ , where each row is independently and uniformly sampled from the set of all vectors in ${0, 1}^{n}$ containing exa…

math.PR2026

Least singular values of shifted sparse random combinatorial matrices

Dongbin Li, Alexander E. Litvak, Tingzhou Yu

Let $M_{n}$ be an $n \times n$ random matrix with entries in ${0, 1}$ , where each row is independently and uniformly sampled from the set of all vectors in ${0, 1}^{n}$ containing e…

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…