Michel Ledoux
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French mathematician
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Michel Ledouxmathematics Degrees
Mathematics
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Probability Theory
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Measure Theory
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Mathematics
Why Is Michel Ledoux Influential?
(Suggest an Edit or Addition)According to Wikipedia, Michel Ledoux is a French mathematician, specializing in probability theory. He is a professor at the University of Toulouse. Ledoux received in 1985 his PhD from the University of Strasbourg with thesis Propriétés limites des variables aléatoires vectorielles which was made under the supervision of Xavier Fernique.
Michel Ledoux's Published Works
Published Works
- The concentration of measure phenomenon (2001) (2143)
- Probability in Banach Spaces: Isoperimetry and Processes (1991) (1837)
- Analysis and Geometry of Markov Diffusion Operators (2013) (1187)
- Probability in Banach spaces (1991) (1041)
- Logarithmic Sobolev Inequalities (2014) (573)
- Concentration of measure and logarithmic Sobolev inequalities (1999) (446)
- Isoperimetry and Gaussian analysis (1996) (397)
- Hypercontractivity of Hamilton-Jacobi equations (2001) (319)
- On Talagrand's deviation inequalities for product measures (1997) (304)
- From Brunn-Minkowski to Brascamp-Lieb and to logarithmic Sobolev inequalities (2000) (241)
- Lévy–Gromov’s isoperimetric inequality for an infinite dimensional diffusion generator (1996) (240)
- The geometry of Markov diffusion generators (1998) (239)
- Sobolev inequalities in disguise (1995) (236)
- One-dimensional empirical measures, order statistics, and Kantorovich transport distances (2019) (207)
- Paneitz-type operators and applications (2000) (175)
- Poincaré’s inequalities and Talagrand’s concentration phenomenon for the exponential distribution (1997) (165)
- A logarithmic Sobolev form of the Li-Yau parabolic inequality (2006) (152)
- Martingale Representation and a Simple Proof of Logarithmic Sobolev Inequalities on Path Spaces (1997) (132)
- Spectral gap, logarithmic Sobolev constant, and geometric bounds (2004) (125)
- On Modified Logarithmic Sobolev Inequalities for Bernoulli and Poisson Measures (1998) (122)
- A simple analytic proof of an inequality by P. Buser (1994) (115)
- Logarithmic Sobolev Inequalities for Unbounded Spin Systems Revisited (2001) (114)
- Large deviations and support theorem for diffusion processes via rough paths (2002) (111)
- Semigroup proofs of the isoperimetric inequality in Euclidean and Gauss space (1994) (103)
- Sobolev inequalities and Myers’s diameter theorem for an abstract Markov generator (1996) (102)
- Weighted poincaré-type inequalities for cauchy and other convex measures (2009) (102)
- Small deviations for beta ensembles (2009) (101)
- Stein’s method, logarithmic Sobolev and transport inequalities (2014) (91)
- Deviation Inequalities on Largest Eigenvalues (2007) (80)
- On improved Sobolev embedding theorems (2003) (75)
- On manifolds with non-negative Ricci curvature and Sobolev inequalities (1999) (71)
- Self-interacting diffusions (2002) (70)
- LÉVY AREA OF WIENER PROCESSES IN BANACH SPACES (2002) (68)
- Characterization of the Law of the Iterated Logarithm in Banach Spaces (1988) (67)
- Quantitative logarithmic Sobolev inequalities and stability estimates (2014) (67)
- On contraction properties of Markov kernels (2003) (64)
- Hölder norms and the support theorem for diffusions (1994) (64)
- On Optimal Matching of Gaussian Samples (2019) (61)
- Chaos of a Markov operator and the fourth moment condition (2012) (58)
- On an integral criterion for hypercontractivity of diffusion semigroups and extremal functions (1992) (56)
- Differential Operators and Spectral Distributions of Invariant Ensembles from the Classical Orthogonal Polynomials. The Continuous Case (2004) (55)
- Hypercontractive measures, Talagrand's inequality, and influences (2011) (51)
- Optimal heat kernel bounds under logarithmic Sobolev inequalities (1997) (47)
- On logarithmic Sobolev inequalities for continuous time random walks on graphs (2000) (47)
- A recursion formula for the moments of the Gaussian orthogonal ensemble (2009) (45)
- Remarks on logarithmic Sobolev constants, exponential integrability and bounds on the diameter (1995) (44)
- Comparison Theorems, Random Geometry and Some Limit Theorems for Empirical Processes (1989) (44)
- A Remark on Hypercontractivity and Tail Inequalities for the Largest Eigenvalues of Random Matrices (2003) (42)
- On Harnack inequalities and optimal transportation (2012) (38)
- Correlation and Brascamp–Lieb Inequalities for Markov Semigroups (2009) (37)
- From Brunn–Minkowski to sharp Sobolev inequalities (2008) (36)
- A note on large deviations for wiener chaos (1990) (33)
- From Concentration to Isoperimetry: Semigroup Proofs (2011) (31)
- A general framework for simulation of fractional fields (2008) (29)
- SOME APPLICATIONS OF ISOPERIMETRIC METHODS TO STRONG LIMIT THEOREMS FOR SUMS OF INDEPENDENT RANDOM VARIABLES (1990) (29)
- Mass Transportation Proofs of Free Functional Inequalities, and Free Poincare Inequalities (2009) (29)
- Differential Operators and Spectral Distributions of Invariant Ensembles from the Classical Orthogonal Polynomials: the Discrete Case (28)
- Conditions D'Integrabilite Pour Les Multiplicateurs Dans le TLC Banachique (1986) (25)
- From log Sobolev to Talagrand: A quick proof (2012) (25)
- A Short Proof of the Gaussian Isoperimetric Inequality (1998) (24)
- A simple Fourier analytic proof of the AKT optimal matching theorem (2019) (23)
- Convergence of Empirical Processes for Interacting Particle Systems with Applications to Nonlinear Filtering (2000) (23)
- Extreme values and the law of the iterated logarithm (1987) (20)
- PROBABILITY IN BANACH SPACES ‐ STABLE AND INFINITELY DIVISIBLE DISTRIBUTIONS (1987) (20)
- A heat semigroup approach to concentration on the sphere and on a compact Riemannian manifold (1992) (19)
- A Stein deficit for the logarithmic Sobolev inequality (2016) (19)
- Perturbations of functional inequalities using growth conditions (2007) (18)
- On measure concentration of vector-valued maps (2007) (17)
- On optimal matching of Gaussian samples II (2019) (17)
- Remarks on Gaussian Noise Stability, Brascamp-Lieb and Slepian Inequalities (2014) (16)
- The geometry of Euclidean convolution inequalities and entropy (2009) (15)
- COMPLEX HERMITE POLYNOMIALS: FROM THE SEMI-CIRCULAR LAW TO THE CIRCULAR LAW (2008) (15)
- Type and Cotype of Banach Spaces (1991) (14)
- A (one-dimensional) free Brunn–Minkowski inequality (2005) (14)
- Stein's method for normal approximation of linear statistics of beta-ensembles (2017) (13)
- On optimal matching of Gaussian samples III (2019) (12)
- Extreme values and a Gaussian central limit theorem (1987) (11)
- A rate of convergence in the poissonian representation of stable distributions (1996) (11)
- An observation about submatrices (2008) (10)
- Symmetric Markov Diffusion Operators (2014) (10)
- On weighted isoperimetric and Poincaré-type inequalities (2009) (9)
- An inequality for the law of the iterated logarithm (1983) (9)
- Heat Flow Derivatives and Minimum Mean-Square Error in Gaussian Noise (2016) (8)
- A fluctuation result in dual Sobolev norm for the optimal matching problem (2019) (8)
- Heat flows, geometric and functional inequalities (2014) (8)
- Remarks on some transportation cost inequalities (2019) (7)
- Sobolev-Kantorovich Inequalities (2015) (7)
- LARGE DEVIATIONS AND SUPPORT THEOREM FOR DIFFUSIONS VIA ROUGH PATHS (2002) (7)
- Transport Inequalities on Euclidean Spaces for Non-Euclidean Metrics (2020) (7)
- Distributions of Invariant Ensembles from the Classical Orthogonal Polynimials: the Discrete Case (2005) (7)
- Quantitative normal approximation of linear statistics of $\beta$-ensembles (2017) (7)
- Concentration, Functional Inequalities and Isoperimetry (2011) (7)
- Log-convexity of Fisher information along heat flow (2021) (6)
- The one dimensional free Poincaré inequality (2011) (6)
- A Law of the Iterated Logarithm for Directed Last Passage Percolation (2016) (6)
- THE LAW OF THE ITERATED LOGARITHM IN UNIFORMLY CONVEX BANACH SPACES (1986) (6)
- STOCHASTIC PROCESSES WITH A MULTIDIMENSIONAL PARAMETER: (Pitman Research Notes in Mathematics 194) (1990) (6)
- On the Distribution of Overlaps in the Sherrington–Kirkpatrick Spin Glass Model (2000) (6)
- Chapter 27 - Probabilistic Limit Theorems in the Setting of Banach Spaces (2003) (5)
- Summer School on Singular Phenomena and Scaling in Mathematical Models (2007) (4)
- Analytic and Geometric Logarithmic Sobolev Inequalities (2011) (4)
- Extreme Values and LIL Behavior (1990) (4)
- Some remarks on the uniform convergence of Gaussian and Rademacher Fourier quadratic forms (1986) (4)
- A remark on hypercontractivity and the concentration of measure phenomenon in a compact Riemannian manifold (1990) (4)
- Markov Semigroups at Saint-Flour (2012) (4)
- Four Talagrand inequalities under the same umbrella. (2019) (4)
- Gaussian Random Variables (1991) (4)
- Stationary Processes and Random Fourier Series (1991) (3)
- Expected Supremum of a Random Linear Combination of Shifted Kernels (2012) (3)
- A remark on the central limit theorem in Banach spaces (1984) (3)
- Modeling and Numerical Simulations (2017) (3)
- Schilder's large deviation theorem without topology (1993) (3)
- Summer School Connections between Probability and Geometric Functional Analysis (2005) (2)
- A Dimension-Free Reverse Logarithmic Sobolev Inequality for Low-Complexity Functions in Gaussian Space (2019) (2)
- Concentration of measure and logarithmic (2017) (2)
- On Convex Limit Sets and Brownian Motion (1998) (2)
- Differentials of entropy and Fisher information along heat flow: a brief review of some conjectures (2022) (2)
- Lévy-Gromov's isoperimetric inequality for an infinite dimensional diffusion generator (1996) (2)
- Entropy and concentration (2005) (1)
- The Law of the Iterated Logarithm (1991) (1)
- On the small balls condition in the central limit theorem in uniformly convex spaces (1986) (1)
- Compressible Flow Propulsion and Digital Approaches in Fluid Mechanics (2017) (1)
- Sums of Independent Random Variables (1991) (1)
- MARKOV SEMIGROUPS (1)
- Transportation cost inequalities (2005) (1)
- Optimal Transportation and Functional Inequalities (2014) (1)
- Concentration, functional inequalities and isoperimetry : International Workshop on Concentration, Functional Inequalities and Isoperimetry, October 29-November 1, 2009, Florida Atlantic University, Boca Raton, Florida (2011) (1)
- Generalized Functional Inequalities (2014) (1)
- Capacity and Isoperimetric-Type Inequalities (2014) (1)
- Fluid Mechanics: Analytical Methods (2017) (1)
- Concentration in product spaces (2005) (1)
- Numerical Simulation of a Vertical-axis Wind Turbine (2017) (1)
- Regularity of Random Processes (1991) (1)
- Random Matrices, Geometric Functional Analysis and Algorithms (2011) (0)
- One-dimensional Compressible Flows: Fully Reversible Flows (2017) (0)
- On the identification of the limits in the law of the iterated logarithm in Banach spaces (1990) (0)
- Multicultural Canada: A Graphic Overview = Un Canada Multicuturel: Representation Graphique. (1990) (0)
- More Hypercontractive Bounds for Deformed Orthogonal Polynomial Ensembles (2007) (0)
- Mechanics and Fluid (2017) (0)
- A Description of Flows (2017) (0)
- Stein’s method, logarithmic Sobolev and transport inequalities (2015) (0)
- A Law of the Iterated Logarithm for Directed Last Passage Percolation (2017) (0)
- 1. ISOPERIMETRIC AND CONCENTRATION INEQUALITIES p. 7 (1997) (0)
- Viscous Fluid Flows: Calculating Head Losses (2017) (0)
- Instructional Conference on Combinatorial Aspects of Mathematical Analysis Summer School on Singular Phenomena and Scaling in Mathematical Models and Functional Inequalities (2003) (0)
- Heat Transfer 2 (2021) (0)
- Generalities on Banach Space Valued Random Variables and Random Processes (1991) (0)
- Stable Random Variables (1991) (0)
- An isoperimetric inequality for uniformly log-concave measures and uniformly convex bodies. (2022) (0)
- Calculation of Thrust and Propulsion (2017) (0)
- The Strong Law of Large Numbers (1991) (0)
- The Flow of Viscous Fluids. Flow in the Vicinity of a Wall: Boundary Layers and Films (2017) (0)
- γ 2 and Γ 2 in honour of Dominique Bakry and Michel Talagrand (2022) (0)
- Reaction Des Auteurs la Critique De M. Paille De L'article (1999) (0)
- Heat Transfer 1 (0)
- The Central Limit Theorem (1991) (0)
- Appendix: General Equations of Fluid Mechanics (2017) (0)
- Regularity of Gaussian and Stable Processes (1991) (0)
- Heat Transfer 3 (2022) (0)
- Concentration and geometry (2005) (0)
- A Stein deficit for the logarithmic Sobolev inequality (2017) (0)
- Isoperimetric and functional examples (2005) (0)
- Concentration functions and inequalities (2005) (0)
- Tail inequalities for the eigenvalues of the GUE and related models: some results and questions (2022) (0)
- One-dimensional Compressible Flows: Irreversible Flows (2017) (0)
- Stein’s inequality for multivariate Gaussian (2022) (0)
- Transport Inequalities on Euclidean Spaces for Non-Euclidean Metrics (2020) (0)
- Isoperimetric Inequalities and the Concentration of Measure Phenomenon (1991) (0)
- Expected Supremum of a Random Linear Combination of Shifted Kernels (2012) (0)
- Dynamics of Inviscid Fluids (2017) (0)
- The Geometry of Markov Diffusion Generators Table of Contents (1998) (0)
- Sharp bounds on Gaussian and empirical processes (2005) (0)
- Empirical Process Methods in Probability in Banach Spaces (1991) (0)
- Heat Transfer 4 (2022) (0)
- Heat Transfer 1: Conduction (2021) (0)
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