Alessio Figalli

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Luigi AmbrosioScuola Normale Superiore, PisaVerified email at sns.it
Guido De PhilippisCourant Institute of Mathematical ScienceVerified email at cims.nyu.edu
Ludovic RiffordProfessor of Mathematics, Université Côte d'AzurVerified email at univ-cotedazur.fr
Francesco MaggiDepartment of Mathematics, University of Texas at AustinVerified email at math.utexas.edu
José Antonio CarrilloUniversity of OxfordVerified email at maths.ox.ac.uk
Juan Luis VazquezEmeritus Professor of Mathematics, Universidad Autonoma de Madrid, SpainVerified email at uam.es
Matteo BonforteUniversidad Autónoma de MadridVerified email at uam.es
Xavier Ros-OtonICREA Research Professor, Universitat de BarcelonaVerified email at ub.edu
Young-Heon KimMathematics, University of British ColumbiaVerified email at math.ubc.ca
Maria ColomboProfessor, EPFL LausanneVerified email at epfl.ch
Robert McCannCanada Research Chair at the University of TorontoVerified email at math.toronto.edu
Joaquim SerraETH ZurichVerified email at math.ethz.ch
Luis Caffarelliuniversity of texas at austinVerified email at math.utexas.edu
Begoña Barrios BarreraAssociate Professor. University of La Laguna. Tenerife. SpainVerified email at ull.es
Dejan SlepčevProfessor of Mathematical Sciences, Carnegie Mellon UniversityVerified email at math.cmu.edu
Thomas LaurentProfessor of Mathematics, Loyola Marymount UniversityVerified email at lmu.edu
Giulio CiraoloDipartimento di Matematica "Federigo Enriques", Università di MilanoVerified email at unimi.it
Eric CarlenDistinguished Professor of Mathematics, Rutgers UniversityVerified email at math.rutgers.edu
Nicola GigliSISSAVerified email at sissa.it
Serena DipierroSISSA, Trieste (Italy)Verified email at sissa.it

Alessio Figalli

ETH Zurich

Verified email at math.ethz.ch - Homepage

Calculus of Variations Partial Differential Equations


Title Sort by citations Sort by year Sort by title	Cited by Cited by	Year
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	886	2021
A mass transportation approach to quantitative isoperimetric inequalities A Figalli, F Maggi, A Pratelli Inventiones mathematicae 182 (1), 167-211, 2010	446	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	345	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	297	2008
The Monge–Ampère equation and its applications A Figalli	278	2017
The optimal partial transport problem A Figalli Archive for rational mechanics and analysis 195 (2), 533-560, 2010	226	2010
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	225	2014
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	224	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	170	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	153	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	141	2013
An invitation to optimal transport, Wasserstein distances, and gradient flows A Figalli, F Glaudo	136	2023
W^2,1 regularity for solutions of the Monge–Ampère equation G De Philippis, A Figalli Inventiones mathematicae 192 (1), 55-69, 2013	134	2013
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	131	2010
Optimal transportation on non-compact manifolds A Fathi, A Figalli Israel Journal of Mathematics 175, 1-59, 2010	131	2010
Non-local gradient dependent operators C Bjorland, L Caffarelli, A Figalli Advances in Mathematics 230 (4-6), 1859-1894, 2012	128	2012
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	124	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	123	2009
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	113	2018
When is multidimensional screening a convex program? A Figalli, YH Kim, RJ McCann Journal of Economic Theory 146 (2), 454-478, 2011	108	2011

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