Alessio Figalli

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Luigi AmbrosioScuola Normale Superiore, PisaVerified email at sns.it
Guido De PhilippisSISSAVerified email at sissa.it
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
Young-Heon KimMathematics, University of British ColumbiaVerified email at math.ubc.ca
Maria ColomboAssistant professor, EPFL LausanneVerified email at epfl.ch
Xavier Ros-OtonICREA Research Professor, Universitat de BarcelonaVerified email at ub.edu
Robert McCannCanada Research Chair at the University of TorontoVerified email at math.toronto.edu
Matteo BonforteUniversidad Autónoma de MadridVerified email at uam.es
Joaquim SerraETH ZurichVerified email at math.ethz.ch
Luis Caffarelliuniversity of texas at austinVerified email at math.utexas.edu
Begoña Barrios Barrera"Ramón y Cajal" researcher. 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
Serena DipierroSISSA, Trieste (Italy)Verified email at sissa.it
Nicola GigliNice universityVerified email at unice.fr

Alessio Figalli

ETH Zurich

Verified email at math.ethz.ch - Homepage

Calculus of Variations Partial Differential Equations


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A mass transportation approach to quantitative isoperimetric inequalities A Figalli, F Maggi, A Pratelli Inventiones mathematicae 182 (1), 167-211, 2010	357	2010
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	330	2021
Global-in-time weak measure solutions and finite-time aggregation for nonlocal interaction equations JA Carrillo, M DiFrancesco, A Figalli, T Laurent, D Slepčev	308	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	247	2008
The Monge–Ampère equation and its applications A Figalli	180	2017
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	178	2015
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	177	2014
The optimal partial transport problem A Figalli Archive for rational mechanics and analysis 195 (2), 533-560, 2010	160	2010
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	132	2012
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	131	2017
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	119	2013
Non-local gradient dependent operators C Bjorland, L Caffarelli, A Figalli Advances in Mathematics 230 (4-6), 1859-1894, 2012	115	2012
W^2,1 regularity for solutions of the Monge–Ampère equation G De Philippis, A Figalli Inventiones mathematicae 192 (1), 55-69, 2013	110	2013
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	106	2012
Optimal transportation on non-compact manifolds A Fathi, A Figalli Israel Journal of Mathematics 175, 1-59, 2010	103	2010
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	102	2009
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	99	2010
Mass transportation on sub-Riemannian manifolds A Figalli, L Rifford Geometric and functional analysis 20, 124-159, 2010	93	2010
When is multidimensional screening a convex program? A Figalli, YH Kim, RJ McCann Journal of Economic Theory 146 (2), 454-478, 2011	89	2011
Transport Maps for -Matrix Models and Universality F Bekerman, A Figalli, A Guionnet Communications in mathematical physics 338 (2), 589-619, 2015	85	2015

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