59 citations · 136 across the 16 of their papers we have counts for
13 papers · 1 filter
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…
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…
A Stein deficit for the logarithmic Sobolev inequality
Michel Ledoux, Ivan Nourdin, Giovanni Peccati
We provide explicit lower bounds for the deficit in the Gaussian logarithmic Sobolev inequality in terms of differential operators that are naturally associated with the so-called…