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D-Index & Metrics

Mathematics

D-Index
50
Citations
18538
World Ranking
1052
National Ranking
54

Research.com Recognitions

  • 2019 - Member of Academia Europaea

Overview

Michel Ledoux is affiliated with Paul Sabatier University in France and specializes in mathematics, with significant contributions in applied mathematics and related subfields. Their research centers on several interconnected areas including Markov chains and Monte Carlo methods, nonlinear partial differential equations, and geometric analysis and curvature flows.

Their recent scholarly output includes the following published papers:

  • A simple Fourier analytic proof of the AKT optimal matching theorem, 2021, The Annals of Applied Probability
  • On optimal matching of Gaussian samples III, 2020, Probability and Mathematical Statistics
  • Transport Inequalities on Euclidean Spaces for Non-Euclidean Metrics, 2020, Journal of Fourier Analysis and Applications
  • Correction: Transport Inequalities on Euclidean Spaces for Non-Euclidean Metrics, 2024, Journal of Fourier Analysis and Applications

Michel Ledoux has collaborated frequently with other researchers, notably with Sergey G. Bobkov, Jie-Xiang Zhu, and Ronen Eldan. These collaborations have contributed to advances within their shared fields of interest.

Their work has been published primarily in the following venues:

  • Journal of Fourier Analysis and Applications
  • The Annals of Applied Probability
  • Probability and Mathematical Statistics

Their research spans these prominent topics:

  • Markov Chains and Monte Carlo Methods
  • Nonlinear Partial Differential Equations
  • Geometric Analysis and Curvature Flows
  • Point processes and geometric inequalities
  • Stochastic processes and statistical mechanics
  • Mathematical Approximation and Integration
  • Limits and Structures in Graph Theory

In recognition of their academic contributions, Michel Ledoux was named a Member of the Academia Europaea in 2019.

Best Publications

  • Probability in Banach Spaces: Isoperimetry and Processes

    Michel Ledoux;Michel Talagrand

  • The concentration of measure phenomenon

    Michel Ledoux

  • Probability in Banach spaces

    Michel Ledoux;Michel Talagrand

  • Analysis and Geometry of Markov Diffusion Operators

    Dominique Bakry;Dominique Bakry;Ivan Gentil;Michel Ledoux;Michel Ledoux

  • Concentration of measure and logarithmic Sobolev inequalities

    Michel Ledoux

  • Isoperimetry and Gaussian analysis

    Michel Ledoux

  • Hypercontractivity of Hamilton-Jacobi equations

    Sergey G Bobkov;Ivan Gentil;Michel Ledoux

  • On Talagrand's deviation inequalities for product measures

    Michel Ledoux

  • Lévy-Gromov's isoperimetric inequality for an infinite dimensional diffusion generator

    D. Bakry;M. Ledoux

  • From Brunn-Minkowski to Brascamp-Lieb and to logarithmic Sobolev inequalities

    S. G. Bobkov;M. Ledoux

  • Sobolev inequalities in disguise

    D. Bakry;T. Coulhon;M. Ledoux;L. Saloff-Coste

  • The geometry of Markov diffusion generators

    Michel Ledoux

  • One-Dimensional Empirical Measures, Order Statistics, and Kantorovich Transport Distances

    Sergey Bobkov;Michel Ledoux

  • Paneitz-type operators and applications

    Zindine Djadli;Emmanuel Hebey;Michel Ledoux

  • Poincaré’s inequalities and Talagrand’s concentration phenomenon for the exponential distribution

    S. Bobkov;M. Ledoux

  • A logarithmic Sobolev form of the Li-Yau parabolic inequality

    Dominique Bakry;Michel Ledoux

  • Logarithmic Sobolev Inequalities for Unbounded Spin Systems Revisited

    Michel Ledoux

  • Martingale Representation and a Simple Proof of Logarithmic Sobolev Inequalities on Path Spaces

    Mireille Capitaine;Elton P. Hsu;Michel Ledoux

  • On Modified Logarithmic Sobolev Inequalities for Bernoulli and Poisson Measures

    S.G Bobkov;M Ledoux

  • Spectral gap, logarithmic Sobolev constant, and geometric bounds

    M. Ledoux

  • Logarithmic Sobolev Inequalities

    Dominique Bakry;Ivan Gentil;Michel Ledoux

Frequent Co-Authors

Michel Talagrand
Michel Talagrand Centre national de la recherche scientifique, CNRS
Sergey G. Bobkov
Sergey G. Bobkov University of Minnesota
Marc Yor
Marc Yor Sorbonne University
Ivan Nourdin
Ivan Nourdin University of Luxembourg
Giovanni Peccati
Giovanni Peccati University of Luxembourg
Sourav Chatterjee
Sourav Chatterjee Stanford University
Thierry Coulhon
Thierry Coulhon PSL University
Gérard Ben Arous
Gérard Ben Arous Courant Institute of Mathematical Sciences
Laurent Saloff-Coste
Laurent Saloff-Coste Cornell University
Holger Boche
Holger Boche Technical University of Munich

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