58 citations · 58 across the 3 of their papers we have counts for
4 papers
The geometry of Euclidean convolution inequalities and entropy
Dario Cordero-Erausquin, Michel Ledoux
The goal of this note is to show that some convolution type inequalities from Harmonic Analysis and Information Theory, such as Young's convolution inequality (with sharp constant)…
Weighted Poincaré-type inequalities for Cauchy and other convex measures
Sergey G. Bobkov, Michel Ledoux
Brascamp--Lieb-type, weighted Poincaré-type and related analytic inequalities are studied for multidimensional Cauchy distributions and more general -concave probability measure…
Mass Transportation Proofs of Free Functional Inequalities, and Free Poincare Inequalities
Michel Ledoux, Ionel Popescu
This work is devoted to direct mass transportation proofs of families of functional inequalities in the context of one-dimensional free probability, avoiding random matrix approxim…
An observation about submatrices
Sourav Chatterjee, Michel Ledoux
Let M be an arbitrary Hermitian matrix of order n, and k be a positive integer less than or equal to n. We show that if k is large, the distribution of eigenvalues on the real line…