59 citations · 136 across the 16 of their papers we have counts for
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math.FA2019
A dimension-free reverse logarithmic Sobolev inequality for low-complexity functions in Gaussian space
Ronen Eldan, Michel Ledoux
We discuss new proofs, and new forms, of a reverse logarithmic Sobolev inequality, with respect to the standard Gaussian measure, for low complexity functions, measured in terms of…
math.FA2009
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)…
math.FA2009
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…