Cédric Villani

发表

Yann Ollivier, Hervé Pajot, Cédric Villani, 2014 .

A differential point of view on optimal transportation

Cédric Villani, 2003 .

A short proof of the "Concavity of entropy power"

Cédric Villani, C. Villani, 2000, IEEE Trans. Inf. Theory.

A Curved Brunn-Minkowski Inequality on the Discrete Hypercube, Or: What Is the Ricci Curvature of the Discrete Hypercube?

Yann Ollivier, Cédric Villani, C. Villani, 2010, SIAM J. Discret. Math..

Freedom in Mathematics

Cédric Villani, Pierre Cartier, Gerhard Heinzmann, 2016 .

Three examples of coupling techniques

Cédric Villani, 2009 .

The Nature and Challenges of Mathematics Research

Cédric Villani, Pierre Cartier, Gerhard Heinzmann, 2016 .

Spectral methods for the non cut-off Boltzmann equation and numerical grazing collision limit

Lorenzo Pareschi, Giuseppe Toscani, Cédric Villani, 2010, Numerische Mathematik.

Les coulisses de la création

Cédric Villani, Karol Beffa, 2015 .

Optimal Transportation: SHORT COURSES

Yann Ollivier, Hervé Pajot, Cédric Villani, 2014 .

Introduction for Carlo's Special Issue

Cédric Villani, 2006 .

Fisher information estimates for Boltzmann's collision operator

Cédric Villani, C. Villani, 1998 .

Mathematics of Granular Materials

Cédric Villani, C. Villani, 2006 .

Optimal Transport and Curvature

Cédric Villani, Alessio Figalli, C. Villani, 2011 .

Gradient flows I

Cédric Villani, C. Villani, 2009 .

On the Ma–Trudinger–Wang curvature on surfaces

Cédric Villani, Ludovic Rifford, Alessio Figalli, 2010 .

Sharp Entropy Dissipation Bounds and Explicit Rate of Trend to Equilibrium for the Spatially Homogeneous Boltzmann Equation

Giuseppe Toscani, Cédric Villani, C. Villani, 1999 .

The Wasserstein distances

Cédric Villani, C. Villani, 2009 .

On The Trend To Global Equilibrium In Spatially Inhomogeneous Entropy-Dissipating Systems Part I : T

Cédric Villani, Laurent Desvillettes, C. Villani, 1999 .

Cercignani's Conjecture is Sometimes True and Always Almost True

Cédric Villani, C. Villani, 2003 .

Regularity of optimal transport andcut locus: From nonsmooth analysis to geometry to smooth analysis

Cédric Villani, C. Villani, 2011 .

Tangent cut loci on surfaces

Cédric Villani, Ludovic Rifford, Alessio Figalli, 2011 .

Stability of optimal transport

Cédric Villani, C. Villani, 2009 .

On a New Class of Weak Solutions to the Spatially Homogeneous Boltzmann and Landau Equations

Cédric Villani, C. Villani, 1998 .

Donner un sens à l'intelligence artificielle

Marc Schoenauer, Cédric Villani, Bertrand Rondepierre, 2018 .

Entropy Dissipation and Long-Range Interactions

Radjesvarane Alexandre, Bernt Wennberg, Cédric Villani, 2000 .

Rarefied Gas Dynamics: From basic concepts to actual calculations: (Cambridge texts in applied mathematics, Cambridge University Press, 2000, 320 pp.) £ 18.95; US$ 29.95 paperback ISBN 0 521 65992 2

Cédric Villani, 2001 .

On the Boltzmann equation for long‐range interactions

Radjesvarane Alexandre, Cédric Villani, C. Villani, 2002 .

On the Landau approximation in plasma physics

Radjesvarane Alexandre, Cédric Villani, C. Villani, 2004 .

On the spatially homogeneous landau equation for hard potentials part i : existence, uniqueness and smoothness

Cédric Villani, Laurent Desvillettes, C. Villani, 2000 .

On the trend to global equilibrium for spatially inhomogeneous kinetic systems: The Boltzmann equation

Cédric Villani, Laurent Desvillettes, C. Villani, 2005 .

Optimal transportation, dissipative PDE’s and functional inequalities

Cédric Villani, C. Villani, 2003 .

ON THE SPATIALLY HOMOGENEOUS LANDAU EQUATION FOR MAXWELLIAN MOLECULES

Cédric Villani, C. Villani, 1998 .

Birth of a Theorem: A Mathematical Adventure

Cédric Villani, C. Villani, M. Debevoise, 2015 .

Hypocoercive Diffusion Operators

Cédric Villani, C. Villani, 2006 .

On the Trend to Equilibrium for Some Dissipative Systems with Slowly Increasing a Priori Bounds

Giuseppe Toscani, Cédric Villani, C. Villani, 2000 .

Cyclical monotonicity and Kantorovich duality

Cédric Villani, 2009 .

On the spatially homogeneous landau equation for hard potentials part ii : h-theorem and applications

Cédric Villani, Laurent Desvillettes, C. Villani, 2000 .

Entropies and Equilibria of Many-Particle Systems: An Essay on Recent Research

Ansgar Jüngel, Giuseppe Toscani, Cédric Villani, 2004 .

NECESSARY AND SUFFICIENT CONDITIONS FOR CONTINUITY OF OPTIMAL TRANSPORT MAPS ON RIEMANNIAN MANIFOLDS

Cédric Villani, Ludovic Rifford, Alessio Figalli, 2011 .

On the Cauchy problem for Landau equation: sequential stability, global existence

Cédric Villani, C. Villani, 1996, Advances in Differential Equations.

Probability Metrics and Uniqueness of the Solution to the Boltzmann Equation for a Maxwell Gas

Giuseppe Toscani, Cédric Villani, C. Villani, 1999 .

Conservative forms of Boltzmann's collision operator: Landau revisited

Cédric Villani, C. Villani, 1999 .

H-theorem and beyond: Boltzmann's entropy in today's mathematics

Cédric Villani, C. Villani, 2008 .

An Approximation Lemma about the Cut Locus, with Applications in Optimal Transport Theory

Cédric Villani, Alessio Figalli, 2008 .

Entropy Methods for the Boltzmann Equation: Lectures from a Special Semester at the Centre Émile Borel, Institut H. Poincaré, Paris, 2001

François Golse, Cédric Villani, Stefano Olla, 2007 .