3 papers
math.MG2025
Radii of Euclidean sections of -balls
Stanislaw Szarek, Pawel Wolff
The celebrated Dvoretzky theorem asserts that every -dimensional convex body admits central sections of dimension , which is nearly spherical. For many instances…
quant-ph2024
Constructive nonlocal games with very small classical values
M. Rosicka, S. Szarek, A. Rutkowski +2
There are few explicit examples of two player nonlocal games with a large gap between classical and quantum value. One of the reasons is that estimating the classical value is usua…
math.PR2024
Optimal constants in concentration inequalities on the sphere and in the Gauss space
Guillaume Aubrun, Justin Jenkinson, Stanislaw J. Szarek
We show several variants of concentration inequalities on the sphere stated as subgaussian estimates with optimal constants. For a Lipschitz function, we give one-sided and two-sid…