40 citations · 46 across the 5 of their papers we have counts for
8 papers
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…
Volume properties of high-dimensional Orlicz balls
Franck Barthe, P Wolff
We prove asymptotic estimates for the volume of families of Orlicz balls in high dimensions. As an application, we describe a large family of Orlicz balls which verify a famous con…
Positive Gaussian kernels also have Gaussian minimizers
Franck Barthe, Pawel Wolff
We study lower bounds on multilinear operators with Gaussian kernels acting on Lebesgue spaces, with exponents below one. We put forward natural conditions when the optimal constan…
Moment estimates implied by modified log-Sobolev inequalities
Radosław Adamczak, Witold Bednorz, Paweł Wolff
We study a class of logarithmic Sobolev inequalities with a general form of the energy functional. The class generalizes various examples of modified logarithmic Sobolev inequaliti…
Circular law for random matrices with exchangeable entries
Radosław Adamczak, Djalil Chafaï, Paweł Wolff
An exchangeable random matrix is a random matrix with distribution invariant under any permutation of the entries. For such random matrices, we show, as the dimension tends to infi…
Concentration inequalities for non-Lipschitz functions with bounded derivatives of higher order
Radosław Adamczak, Paweł Wolff
Building on the inequalities for homogeneous tetrahedral polynomials in independent Gaussian variables due to R. Latała we provide a concentration inequality for non-necessarily Li…