59 citations · 136 across the 16 of their papers we have counts for
18 papers
On optimal matching of Gaussian samples III
Michel Ledoux, Jie-Xiang Zhu
This article is a continuation of the papers [8,9] in which the optimal matching problem, and the related rates of convergence of empirical measures for Gaussian samples are addres…
A simple Fourier analytic proof of the AKT optimal matching theorem
Sergey Bobkov, Michel Ledoux
We present a short and elementary proof of the Ajtai-Komlós-Tusnády (AKT) optimal matching theorem in dimension 2 via Fourier analysis and a smoothing argument. The upper bound app…
Four Talagrand inequalities under the same umbrella
Michel Ledoux
This note reviews the studies of the last decades emphasizing a common principle based on entropy, logarithmic Sobolev inequality and hypercontractivity, behind four most celebrate…
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…
Quantitative Normal Approximation of Linear Statistics of -ensembles
Gaultier Lambert, Michel Ledoux, Christian Webb
We present a new approach, inspired by Stein's method, to prove a central limit theorem (CLT) for linear statistics of -ensembles in the one-cut regime. Compared with the previo…
A law of the iterated logarithm for directed last passage percolation
Michel Ledoux
A law of the iterated logarithm is established for the last passage times of directed percolation on rectangles in the plane over exponential or geometric independent random variab…