2019 - Member of Academia Europaea
Michel Ledoux spends much of his time researching Mathematical analysis, Sobolev inequality, Isoperimetric inequality, Pure mathematics and Poincaré inequality. Michel Ledoux studied Mathematical analysis and Concentration inequality that intersect with Exponential distribution. The study incorporates disciplines such as Measure, Logarithm, Spectral gap, Exponential function and Lipschitz continuity in addition to Sobolev inequality.
As a part of the same scientific family, he mostly works in the field of Isoperimetric inequality, focusing on Concentration of measure and, on occasion, Entropy. The various areas that he examines in his Pure mathematics study include Discrete mathematics, Linear matrix inequality, Regular polygon, Bounded function and Markov chain. He interconnects Heat kernel and Euclidean space in the investigation of issues within Poincaré inequality.
His primary areas of investigation include Pure mathematics, Mathematical analysis, Sobolev inequality, Combinatorics and Isoperimetric inequality. His Pure mathematics study combines topics from a wide range of disciplines, such as Martingale and Fisher information. His research on Mathematical analysis often connects related topics like Concentration inequality.
His Sobolev inequality research is multidisciplinary, incorporating perspectives in Poincaré inequality, Logarithm, Heat kernel and Lipschitz continuity. The Combinatorics study combines topics in areas such as Order, Eigenvalues and eigenvectors and Random variable. Michel Ledoux usually deals with Isoperimetric inequality and limits it to topics linked to Discrete mathematics and Product.
His primary areas of study are Combinatorics, Random variable, Pure mathematics, Gaussian measure and Discrete mathematics. His Combinatorics research integrates issues from Superadditivity, Iterated logarithm and Law of the iterated logarithm. His research in Pure mathematics is mostly focused on Semigroup.
His research investigates the connection between Semigroup and topics such as Sobolev inequality that intersect with issues in Differential. His biological study spans a wide range of topics, including Riemannian geometry, Bounded function, Markov chain and Isoperimetric inequality. Distribution is a subfield of Mathematical analysis that he explores.
Michel Ledoux mainly focuses on Gaussian measure, Pure mathematics, Sobolev inequality, Applied mathematics and Mass transportation. His Pure mathematics study combines topics in areas such as Bounded function, Differential and Markov chain. His studies deal with areas such as Discrete mathematics and Banach space as well as Sobolev inequality.
Semigroup is closely connected to Heat kernel in his research, which is encompassed under the umbrella topic of Applied mathematics. His Semigroup research incorporates themes from Poincaré inequality, Upper and lower bounds and Metric. His Mass transportation studies intersect with other disciplines such as Conjecture, Common distribution, Combinatorics, Order and Random variable.
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Probability in Banach Spaces: Isoperimetry and Processes
Michel Ledoux;Michel Talagrand.
The concentration of measure phenomenon
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.
Isoperimetry and Gaussian analysis
Concentration of measure and logarithmic Sobolev inequalities
Séminaire de Probabilités de Strasbourg (1999)
Hypercontractivity of Hamilton-Jacobi equations
Sergey G Bobkov;Ivan Gentil;Michel Ledoux.
Journal de Mathématiques Pures et Appliquées (2001)
On Talagrand's deviation inequalities for product measures
Esaim: Probability and Statistics (1997)
Lévy-Gromov's isoperimetric inequality for an infinite dimensional diffusion generator
D. Bakry;M. Ledoux.
Inventiones Mathematicae (1996)
Sobolev inequalities in disguise
D. Bakry;T. Coulhon;M. Ledoux;L. Saloff-Coste.
Indiana University Mathematics Journal (1995)
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