M. Sonnleitner

activity

20242026

collaborators

3 papers

math.FA2026

Next-order asymptotics for the volume of Schatten balls

Mathias Sonnleitner

The volume of the unit balls of self-adjoint finite-dimensional Schatten $p$ -classes of $n \times n$ -matrices, $1 \leq p \leq \infty$ , is only known exactly for $p = 2$ and $p = \infty$ . We…

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.PR2024

Strange shadows of $ℓ_{p}$ -balls

Zakhar Kabluchko, Mathias Sonnleitner

We prove a large deviations principle for orthogonal projections of the unit ball $B_{p}^{n}$ of $ℓ_{p}^{n}$ onto a random $k$ -dimensional linear subspace of $R^{n}$ as…

Next-order asymptotics for the volume of Schatten balls

Minimal dispersion on the sphere

Strange shadows of ℓp​-balls

Strange shadows of $ℓ_{p}$ -balls