Search Results - "Ledoux, Michel"

Stein’s method, logarithmic Sobolev and transport inequalities by Ledoux, Michel, Nourdin, Ivan, Peccati, Giovanni

“…We develop connections between Stein’s approximation method, logarithmic Sobolev and transport inequalities by introducing a new class of functional…”
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Sobolev-Kantorovich Inequalities by Ledoux, Michel

“…In a recent work, E. Cinti and F. Otto established some new interpolation inequalities in the study of pattern formation, bounding the Lr(μ)-norm of a…”
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Weighted Poincaré-Type Inequalities for Cauchy and Other Convex Measures by Bobkov, Sergey G., Ledoux, Michel

“…Brascamp-Lieb-type, weighted Poincaré-type and related analytic inequalities are studied for multidimensional Cauchy distributions and more general κ-concave…”
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A Stein deficit for the logarithmic Sobolev inequality by Ledoux, Michel, Nourdin, Ivan, Peccati, Giovanni

“…We provide some lower bounds on the deficit in the Gaussian logarithmic Sobolev inequality in terms of the so-called Stein characterization of the Gaussian…”
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Mass transportation proofs of free functional inequalities, and free Poincaré inequalities by Ledoux, Michel, Popescu, Ionel

“…This work is devoted to direct mass transportation proofs of families of functional inequalities in the context of one-dimensional free probability, avoiding…”
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The geometry of Euclidean convolution inequalities and entropy by CORDERO-ERAUSQUIN, Dario, LEDOUX, Michel

“…The goal of this paper is to show that some convolution type inequalities from Harmonic Analysis and Information Theory, such as Young's convolution inequality…”
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Hypercontractivity of Hamilton–Jacobi equations by Bobkov, Sergey G, Gentil, Ivan, Ledoux, Michel

“…Following the equivalence between logarithmic Sobolev inequalities and hypercontractivity showed by L. Gross, we prove that logarithmic Sobolev inequalities…”
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Heat Flow Derivatives and Minimum Mean-Square Error in Gaussian Noise by Ledoux, Michel

“…We connect recent developments on Gaussian noise estimation and the Minimum Mean-Square Error to earlier results on entropy and Fisher information heat flow…”
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A Law of the Iterated Logarithm for Directed Last Passage Percolation by Ledoux, Michel

“…Let H ~ N , N ≥ 1 , be the point-to-point last passage times of directed percolation on rectangles [ ( 1 , 1 ) , ( [ γ N ] , N ) ] in N × N over exponential or…”
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Differential Operators and Spectral Distributions of Invariant Ensembles from the Classical Orthogonal Polynomials. The Continuous Case by Ledoux, Michel

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QUANTITATIVE NORMAL APPROXIMATION OF LINEAR STATISTICS OF β-ENSEMBLES by Lambert, Gaultier, Ledoux, Michel, Webb, Christian

“…We present a new approach, inspired by Stein’s method, to prove a central limit theorem (CLT) for linear statistics of β-ensembles in the one-cut regime…”
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Small Deviations for Beta Ensembles by Ledoux, Michel, Rider, Brian

“…We establish various small deviation inequalities for the extremal (soft edge) eigenvalues in the beta-Hermite and beta-Laguerre ensembles. In both settings,…”
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A simple Fourier analytic proof of the AKT optimal matching theorem by Bobkov, Sergey G., Ledoux, Michel

“…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…”
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Correction: Transport Inequalities on Euclidean Spaces for Non-Euclidean Metrics by Bobkov, Sergey G., Ledoux, Michel

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Transport Inequalities on Euclidean Spaces for Non-Euclidean Metrics by Bobkov, Sergey G., Ledoux, Michel

“…We explore upper bounds on Kantorovich transport distances between probability measures on the Euclidean spaces in terms of their Fourier-Stieltjes transforms,…”
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Martingale Representation and a Simple Proof of Logarithmic Sobolev Inequalities on Path Spaces by Capitaine, Mireille, Hsu, Elton, Ledoux, Michel

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THE ONE DIMENSIONAL FREE POINCARÉ INEQUALITY by LEDOUX, MICHEL, POPESCU, IONEL

“…In this paper we discuss the natural candidate for the one dimensional free Poincaré inequality. Two main strong points sustain this candidacy. One is the…”
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CHAOS OF A MARKOV OPERATOR AND THE FOURTH MOMENT CONDITION by Ledoux, M.

“…We analyze from the viewpoint of an abstract Markov operator recent results by Nualart and Peccati, and Nourdin and Peccati, on the fourth moment as a…”
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Four Talagrand inequalities under the same umbrella by Ledoux, Michel

“…This note reviews the studies of the last decades emphasizing a common principle based on entropy, logarithmic Sobolev inequality and hypercontractivity,…”
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An observation about submatrices by Chatterjee, Sourav, Ledoux, Michel

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