Concepedia

Cédric Villani

CV

Statistics

Publications

50

Citations

8.5K

H-Index

39

Active since

1996

Affiliations

École Normale Supérieure de Lyon(Current)

Unité de Mathématiques Pures et Appliquées

École Normale Supérieure - PSL

Centre National de la Recherche Scientifique

École Normale Supérieure Paris-Saclay

Cédric Villani is an author at École Normale Supérieure de Lyon specializing in engineering, physics, and entropy.

Top concepts

EngineeringPhysicsEntropyFunctional AnalysisGeometryProbabilityStabilityThermodynamicsSpectral TheoryNatural Sciences

Publications per year

1996–2016

50

Publications

50

Ricci curvature for metric-measure spaces via optimal transport

John Lott, Cédric Villani · Annals of Mathematics · 2009 · 1.3K citations · Full text

Generalization of an Inequality by Talagrand and Links with the Logarithmic Sobolev Inequality

Félix Otto, Cédric Villani · Journal of Functional Analysis · 2000 · 942 citations

Engineering, Logarithmic Sobolev Inequality, Variational Inequality +2

Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates

José A. Carrillo, Robert J. McCann, Cédric Villani · Revista Matemática Iberoamericana · 2003 · 522 citations · Full text

Engineering, Fluid Mechanics, Granular Medium +19

On Landau damping

Clément Mouhot, Cédric Villani · Acta Mathematica · 2011 · 438 citations · Full text

Spectral Theory, Physics, Damping Phenomenon +6

A mass-transportation approach to sharp Sobolev and Gagliardo–Nirenberg inequalities

D. Cordero-Erausquin, Bruno Nazaret, Cédric Villani · Advances in Mathematics · 2003 · 378 citations

Spectral Theory, Dirichlet Form, Monge-ampere Equation +5

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