S. Szarek

activity

19972024

most citedTensor products of convex sets and the volume of separable states on N qudits

75 citations · 270 across the 14 of their papers we have counts for

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2 papers · 1 filter

math.MG2024

Radii of Euclidean sections of $ℓ_{p}$ -balls

Stanislaw Szarek, Pawel Wolff

The celebrated Dvoretzky theorem asserts that every $N$ -dimensional convex body admits central sections of dimension $d = Ω (lo g N)$ , which is nearly spherical. For many instances…

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…

Radii of Euclidean sections of ℓp​-balls

Optimal constants in concentration inequalities on the sphere and in the Gauss space

Radii of Euclidean sections of $ℓ_{p}$ -balls