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Cédric Villani (born in1973) is a French mathematician working primarily on partial differential equations and mathematical physics. He was awarded the Fields Medal in 2010. Villani has worked on the theory of partial differential equations involved in statistical mechanics, specifically the Boltzmann equation, where, with Laurent Desvillettes, he was the first to prove how fast convergence occurred for initial values not near equilibrium.[2] He has also written with Giuseppe Toscani on this subject. With Clément Mouhot, he has also worked on nonlinear Landau damping.[3] He has worked on the theory of optimal transport and its applications to differential geometry, and with John Lott has defined a notion of bounded Ricci curvature for general measured length spaces.[4] He received the Fields Medal for his work on Landau damping and the Boltzmann equation.
Cédric VILLANI french mathematician There are 41 chapters.
0,00 €Contractions in the 2-Wasserstein length space and thermalization of granular media by Jose A. C., Robert J. McCanny, Cedric V.
Contractions in the 2-Wasserstein length space and thermalization of granular media José A. Carrillo, Robert J. McCann and C. Villani
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0,00 €Quantative concentration inequalities for empirical measures on non-compact spaces by F. Bolley, A. Guillin and C. Villani
Quantative concentration inequalities for empirical measures on non-compact spaces F. Bolley, A. Guillin and C. Villani
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0,00 €Hamilton-Jacobi semigroup on length spaces and applications by J. Lott and C. Villani
Hamilton-Jacobi semigroup on length spaces and applications J. Lott and C. Villani
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0,00 €Strong displacement convexity on Riemannian Manifolds by A. Figalli and C. Villani
Strong displacement convexity on Riemannian Manifolds A. Figalli and C. Villani
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0,00 €Balls have the worts best Sobolev inequalities part II : variants and extensions by F. Maggi and C. Villani
Balls have the worts best Sobolev inequalities part II : variants and extensions F. Maggi and C. Villani
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0,00 €An approximation Lemma about the cut Locus, with applications in optimal transport theory by A. Figalli and C. Villani
An approximation Lemma about the cut Locus, with applications in optimal transport theory A. Figalli and C. Villani
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0,00 €Local Aronson-Benilan estimates and entropy formulae for porous medium by P. Lu, L. Ni, J-L Vazquez and C. Villani
Local Aronson-Benilan estimates and entropy formulae for porous medium and fast diffusion equations on manifolds P. Lu, L. Ni, J-L Vazquez and C. Villani
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0,00 €A two sacle approach to logarithmic Sobolev Inequalities and the hydrodynamic limit by N. G., F. O., C. V., and Maria G. W.
A two sacle approach to logarithmic Sobolev Inequalities and the hydrodynamic limit N. Grunewald, F. Otto, C. Villani, and Maria G. Westdickenberg
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0,00 €Upper Maxwellian bounds for the spatially homogeneous Boltzmann equation by I. M. Gamba, V. Panferov and C. Villani
Upper Maxwellian bounds for the spatially homogeneous Boltzmann equation I. M. Gamba, V. Panferov and C. Villani
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0,00 €Regularity of optimal transport in curved geometry : the nonfocal case by G. Loeper and C. Villani
Regularity of optimal transport in curved geometry : the nonfoval case G. Loeper and C. Villani
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0,00 €On the Ma-Trudinger-Wang curvature on surfaces by A. Figalli, L. Rifford and C. Villani
On the Ma-Trudinger-Wang curvature on surfaces A. Figalli, L. Rifford and C. Villani
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0,00 €Limites hydrodynamiques de l’équation by Boltzmann de C. Villani
Limites hydrodynamiques de l’équation de Boltzmann C. Villani
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