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- Michel Ledoux

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
46
Citations
16,611
125
World Ranking
954
National Ranking
49

2019 - Member of Academia Europaea

- Mathematical analysis
- Algebra
- Hilbert space

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.

- The concentration of measure phenomenon (1706 citations)
- Probability in Banach spaces (1449 citations)
- Probability in Banach Spaces: Isoperimetry and Processes (1239 citations)

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.

- Pure mathematics (44.59%)
- Mathematical analysis (33.78%)
- Sobolev inequality (23.65%)

- Combinatorics (18.92%)
- Random variable (14.19%)
- Pure mathematics (44.59%)

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.

- Analysis and Geometry of Markov Diffusion Operators (473 citations)
- Analysis and Geometry of Markov Diffusion Operators (473 citations)
- One-dimensional empirical measures, order statistics, and Kantorovich transport distances (97 citations)

- Mathematical analysis
- Algebra
- Hilbert space

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.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Probability in Banach Spaces: Isoperimetry and Processes

Michel Ledoux;Michel Talagrand.

**(1991)**

4093 Citations

The concentration of measure phenomenon

Michel Ledoux.

**(2001)**

2462 Citations

Probability in Banach spaces

Michel Ledoux;Michel Talagrand.

**(1991)**

2350 Citations

Analysis and Geometry of Markov Diffusion Operators

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

**(2013)**

1052 Citations

Isoperimetry and Gaussian analysis

Michel Ledoux.

**(1996)**

489 Citations

Concentration of measure and logarithmic Sobolev inequalities

Michel Ledoux.

Séminaire de Probabilités de Strasbourg **(1999)**

478 Citations

Hypercontractivity of Hamilton-Jacobi equations

Sergey G Bobkov;Ivan Gentil;Michel Ledoux.

Journal de Mathématiques Pures et Appliquées **(2001)**

336 Citations

On Talagrand's deviation inequalities for product measures

Michel Ledoux.

Esaim: Probability and Statistics **(1997)**

330 Citations

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

D. Bakry;M. Ledoux.

Inventiones Mathematicae **(1996)**

282 Citations

Sobolev inequalities in disguise

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

Indiana University Mathematics Journal **(1995)**

278 Citations

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