Optimal transport: old and new C Villani springer 338, 23, 2009 | 10894 | 2009 |
Topics in optimal transportation C Villani American Mathematical Soc., 2021 | 6676 | 2021 |
Ricci curvature for metric-measure spaces via optimal transport J Lott, C Villani Annals of Mathematics, 903-991, 2009 | 1449 | 2009 |
Generalization of an inequality by Talagrand and links with the logarithmic Sobolev inequality F Otto, C Villani Journal of Functional Analysis 173 (2), 361-400, 2000 | 1169 | 2000 |
A review of mathematical topics in collisional kinetic theory C Villani Handbook of mathematical fluid dynamics 1 (71-305), 3-8, 2002 | 1154 | 2002 |
Hypocoercivity C Villani American Mathematical Society 202 (950), 2009 | 770 | 2009 |
On landau damping C Mouhot, C Villani | 669 | 2011 |
Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates JA Carrillo, RJ McCann, C Villani Revista Matematica Iberoamericana 19 (3), 971-1018, 2003 | 578 | 2003 |
On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations C Villani Archive for rational mechanics and analysis 143, 273-307, 1998 | 450 | 1998 |
On the trend to global equilibrium for spatially inhomogeneous kinetic systems: the Boltzmann equation L Desvillettes, C Villani Inventiones mathematicae 159 (2), 245-316, 2005 | 439 | 2005 |
Contractions in the 2-Wasserstein length space and thermalization of granular media JA Carrillo, RJ McCann, C Villani Archive for Rational Mechanics and Analysis 179, 217-263, 2006 | 409 | 2006 |
A mass-transportation approach to sharp Sobolev and Gagliardo–Nirenberg inequalities D Cordero-Erausquin, B Nazaret, C Villani Advances in Mathematics 182 (2), 307-332, 2004 | 399 | 2004 |
The wasserstein distances C Villani, C Villani Optimal transport: old and new, 93-111, 2009 | 345 | 2009 |
Entropy dissipation and long-range interactions R Alexandre, L Desvillettes, C Villani, B Wennberg Archive for rational mechanics and analysis 152, 327-355, 2000 | 340 | 2000 |
On the trend to global equilibrium in spatially inhomogeneous entropy‐dissipating systems: The linear Fokker‐Planck equation L Desvillettes, C Villani Communications on Pure and Applied Mathematics: A Journal Issued by the …, 2001 | 332 | 2001 |
Quantitative concentration inequalities for empirical measures on non-compact spaces F Bolley, A Guillin, C Villani Probability Theory and Related Fields 137, 541-593, 2007 | 319 | 2007 |
Donner un sens à l’intelligence artificielle: pour une stratégie nationale et européenne C Villani, Y Bonnet, C Berthet, F Levin, M Schoenauer, AC Cornut, ... Conseil national du numérique, 2018 | 294 | 2018 |
On the spatially homogeneous landau equation for hard potentials part i: existence, uniqueness and smoothness L Desvillettes, C Villani Communications in Partial Differential Equations 25 (1-2), 179-259, 2000 | 288 | 2000 |
Villani Cédric C Villani Optimal transport: old and new 338, 2008 | 249 | 2008 |
On the Boltzmann equation for long‐range interactions R Alexandre, C Villani Communications on Pure and Applied Mathematics: A Journal Issued by the …, 2002 | 249 | 2002 |