Michel Ledoux - Selected Publications#


(with M. Talagrand) Probability in Banach spaces. Isoperimetry and processes. Ergebnisse der Mathematik und ihrer Grenzgebiete 23, Springer 1991

(with D. Bakry) Lévy-Gromov's isoperimetric inequality for an infinite-dimensional diffusion generator. Invent. Math. 123 (1996), no. 2, 259–281

Concentration of measure and logarithmic Sobolev inequalities. Séminaire de Probabilités, XXXIII, 120–216, Lecture Notes in Math., 1709, Springer, Berlin, 1999

(with S. Bobkov) From Brunn-Minkowski to Brascamp-Lieb and to logarithmic Sobolev inequalities. Geom. Funct. Anal. 10 (2000), no. 5, 1028–1052

The concentration of measure phenomenon. Mathematical Surveys and Monographs, 89. American Mathematical Society, 2001

(avec S. Bobkov and I. Gentil) Hypercontractivity of Hamilton-Jacobi equations. J. Math. Pures Appl. (9) 80 (2001), no. 7, 669–696

(avec D. Bakry and I. Gentil) Analysis and geometry of Markov diffusion operators. Grundlehren der Mathematischen Wissenschaften 348. Springer, 2014

Heat flows, geometric and functional inequalities. Proceedings of the International Congress of Mathematicians-Seoul 2014. Vol. IV, 117-135, Seoul, 2014

(with D. Bakry and I. Gentil) On Harnack inequalities and optimal transportation. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 14 (2015), no. 3, 705–727

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