The power of quantum neural networks A Abbas, D Sutter, C Zoufal, A Lucchi, A Figalli, S Woerner Nature Computational Science 1 (6), 403-409, 2021 | 667 | 2021 |
A mass transportation approach to quantitative isoperimetric inequalities A Figalli, F Maggi, A Pratelli Inventiones mathematicae 182 (1), 167-211, 2010 | 417 | 2010 |
Global-in-time weak measure solutions and finite-time aggregation for nonlocal interaction equations JA Carrillo, M DiFrancesco, A Figalli, T Laurent, D Slepčev | 331 | 2011 |
Existence and uniqueness of martingale solutions for SDEs with rough or degenerate coefficients A Figalli Journal of Functional Analysis 254 (1), 109-153, 2008 | 278 | 2008 |
The Monge–Ampère equation and its applications A Figalli | 241 | 2017 |
The Monge–Ampère equation and its link to optimal transportation G De Philippis, A Figalli Bulletin of the American Mathematical Society 51 (4), 527-580, 2014 | 209 | 2014 |
The optimal partial transport problem A Figalli Archive for rational mechanics and analysis 195 (2), 533-560, 2010 | 207 | 2010 |
Isoperimetry and stability properties of balls with respect to nonlocal energies A Figalli, N Fusco, F Maggi, V Millot, M Morini Communications in Mathematical Physics 336, 441-507, 2015 | 204 | 2015 |
The mathematical theories of diffusion: nonlinear and fractional diffusion JA Carrillo, M del Pino, A Figalli, G Mingione, JL Vázquez, JL Vázquez Nonlocal and Nonlinear Diffusions and Interactions: New Methods and …, 2017 | 150 | 2017 |
Bootstrap regularity for integro-differential operators and its application to nonlocal minimal surfaces BB Barrera, A Figalli, E Valdinoci arXiv preprint arXiv:1202.4606, 2012 | 145 | 2012 |
Regularity of solutions to the parabolic fractional obstacle problem L Caffarelli, A Figalli Journal für die reine und angewandte Mathematik (Crelles Journal) 2013 (680 …, 2013 | 133 | 2013 |
W2,1 regularity for solutions of the Monge–Ampère equation G De Philippis, A Figalli Inventiones mathematicae 192 (1), 55-69, 2013 | 128 | 2013 |
Non-local gradient dependent operators C Bjorland, L Caffarelli, A Figalli Advances in Mathematics 230 (4-6), 1859-1894, 2012 | 122 | 2012 |
A new transportation distance between non-negative measures, with applications to gradients flows with Dirichlet boundary conditions A Figalli, N Gigli Journal de mathématiques pures et appliquées 94 (2), 107-130, 2010 | 122 | 2010 |
Optimal transportation on non-compact manifolds A Fathi, A Figalli Israel Journal of Mathematics 175, 1-59, 2010 | 122 | 2010 |
Nonlocal tug‐of‐war and the infinity fractional Laplacian C Bjorland, L Caffarelli, A Figalli Communications on pure and applied mathematics 65 (3), 337-380, 2012 | 119 | 2012 |
A refined Brunn–Minkowski inequality for convex sets A Figalli, F Maggi, A Pratelli Annales de l'Institut Henri Poincaré C, Analyse non linéaire 26 (6), 2511-2519, 2009 | 117 | 2009 |
When is multidimensional screening a convex program? A Figalli, YH Kim, RJ McCann Journal of Economic Theory 146 (2), 454-478, 2011 | 102 | 2011 |
An invitation to optimal transport, Wasserstein distances, and gradient flows A Figalli, F Glaudo | 98 | 2021 |
A rigorous derivation from the kinetic Cucker–Smale model to the pressureless Euler system with nonlocal alignment A Figalli, MJ Kang Analysis & PDE 12 (3), 843-866, 2018 | 98 | 2018 |