## Figalli, Alessio

Compute Distance To:
 Author ID: figalli.alessio Published as: Figalli, Alessio; Figalli, A. Further Spellings: Фигалли А Homepage: https://people.math.ethz.ch/~afigalli/ External Links: MGP · ORCID · Wikidata · Google Scholar · Math-Net.Ru · dblp · GND · IdRef · theses.fr Awards: EMS Prize (2012) · Fields Medal (2018)
 Documents Indexed: 160 Publications since 2007, including 4 Books 5 Contributions as Editor · 4 Further Contributions Biographic References: 6 Publications Co-Authors: 104 Co-Authors with 143 Joint Publications 2,597 Co-Co-Authors
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### Co-Authors

 23 single-authored 17 Ambrosio, Luigi 13 De Philippis, Guido 13 Rifford, Ludovic 11 Maggi, Francesco 7 Colombo, Maria 7 Villani, Cédric 6 Bonforte, Matteo 6 Ros-Oton, Xavier 5 Jerison, David S. 5 Kim, Young-Heon 5 Pratelli, Aldo 5 Valdinoci, Enrico 4 Caffarelli, Luis Ángel 4 Carrillo de la Plata, José Antonio 4 McCann, Robert J. 4 Serra Montolí, Joaquim 4 Shahgholian, Henrik 3 Barrios Barrera, Begoña 3 Chen, Shibing 3 Ciraolo, Giulio 3 Mooney, Connor 3 Paul, Thierry 3 Vazquez, Juan Luis 3 Wickramasekera, Neshan 2 Abbondandolo, Alberto 2 Bernot, Marc 2 Bjorland, Clayton 2 Bourgain, Jean 2 Brézis, Haïm 2 Cabré, Xavier 2 Carlen, Eric Anders 2 Crippa, Gianluca 2 Dipierro, Serena 2 Fathi, Albert 2 Friesecke, Gero 2 Giannoulis, Johannes 2 Gigli, Nicola 2 Glaudo, Federico 2 Guionnet, Alice 2 Jhaveri, Yash 2 Kang, Moon-Jin 2 Kohn, Robert Vita 2 Laurent, Thomas 2 Pelayo, Alvaro 2 Santambrogio, Filippo 2 Slepčev, Dejan 2 Spinolo, Laura V. 2 Toro, Tatiana 1 Baer, Eric 1 Bekerman, Florent 1 Bench, William 1 Braga, J. Ederson M. 1 Brendle, Simon 1 Cagnetti, Filippo 1 Chang, Sun-Yung Alice 1 Contreras, Gonzalo 1 Cordero-Erausquin, Dario 1 Cozzi, Matteo 1 da Silva, A. Belotto 1 de Franchis, Carlo 1 Del Pino, Manuel A. 1 Deproit, Laurent 1 Desvillettes, Laurent 1 Difrancesco, M. 1 Farina, Alberto 1 Fernández-Real, Xavier 1 Fusco, Nicola 1 Gallouët, Thomas O. 1 Gangbo, Wilfrid 1 Ge, Yuxin 1 Gilles, Sébastien 1 Gomes, Diogo Luís Aguiar 1 Gouëzel, Sébastien 1 Grillo, Gabriele 1 Indrei, Emanuel 1 Jerrard, Robert Leon 1 Juillet, Nicolas 1 Kim, Sunghan 1 Klein, Christian 1 Krummel, Brian 1 Ligabò, Marilena 1 Loeper, Grégoire 1 Mandorino, Vito 1 Marcon, Diego 1 Markowich, Peter Alexander 1 Millot, Vincent 1 Mingione, Giuseppe 1 Morales, Javier 1 Moreira, Diego R. 1 Morini, Massimiliano 1 Neumayer, Robin 1 Novaga, Matteo 1 Oh, Byunghyun 1 Palatucci, Giampiero 1 Palmer, Joseph 1 Parusiński, Adam 1 Patacchini, Francesco Saverio 1 Peral Alonso, Ireneo 1 Persson, Ulf A. 1 Philipowski, Robert ...and 12 more Co-Authors
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### Serials

 13 Communications on Pure and Applied Mathematics 11 Archive for Rational Mechanics and Analysis 7 Discrete and Continuous Dynamical Systems 6 Inventiones Mathematicae 6 Journal of Functional Analysis 6 Calculus of Variations and Partial Differential Equations 4 Advances in Mathematics 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 SIAM Journal on Mathematical Analysis 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 3 Communications in Mathematical Physics 3 Duke Mathematical Journal 3 Journal of Differential Equations 3 Journal für die Reine und Angewandte Mathematik 3 Communications in Partial Differential Equations 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Journal of the European Mathematical Society (JEMS) 3 Oberwolfach Reports 3 Analysis & PDE 2 Acta Mathematica 2 American Journal of Mathematics 2 Gazette des Mathématiciens 2 Publications Mathématiques 2 Mathematische Annalen 2 Proceedings of the American Mathematical Society 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Geometric and Functional Analysis. GAFA 2 Bulletin of the American Mathematical Society. New Series 2 Methods and Applications of Analysis 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Lecture Notes in Mathematics 1 Israel Journal of Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Indiana University Mathematics Journal 1 Journal of Differential Geometry 1 Journal of Economic Theory 1 Mathematische Zeitschrift 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Rendiconti del Seminario Matematico della Università di Padova 1 Tohoku Mathematical Journal. Second Series 1 Transactions of the American Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Differential and Integral Equations 1 Differential Geometry and its Applications 1 IMRN. International Mathematics Research Notices 1 The Journal of Geometric Analysis 1 Notices of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Mathematical Sciences (New York) 1 European Mathematical Society Newsletter 1 Advances in Geometry 1 Tesi. Scuola Normale Superiore di Pisa (Nuova Serie) 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Journal of Fixed Point Theory and Applications 1 Discrete and Continuous Dynamical Systems. Series S 1 Advances in Calculus of Variations 1 Cambridge Journal of Mathematics 1 Philosophical Transactions A. Royal Society of London 1 Bollettino dell’Unione Matematica Italiana 1 EMS Textbooks in Mathematics 1 Zurich Lectures in Advanced Mathematics 1 Mathematics in Engineering
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### Fields

 83 Partial differential equations (35-XX) 72 Calculus of variations and optimal control; optimization (49-XX) 26 Differential geometry (53-XX) 14 Probability theory and stochastic processes (60-XX) 13 Dynamical systems and ergodic theory (37-XX) 13 Global analysis, analysis on manifolds (58-XX) 10 Fluid mechanics (76-XX) 8 Real functions (26-XX) 8 Measure and integration (28-XX) 8 Convex and discrete geometry (52-XX) 7 General and overarching topics; collections (00-XX) 7 Functional analysis (46-XX) 5 Operations research, mathematical programming (90-XX) 4 Quantum theory (81-XX) 4 Geophysics (86-XX) 3 History and biography (01-XX) 3 Ordinary differential equations (34-XX) 3 Statistics (62-XX) 3 Mechanics of particles and systems (70-XX) 3 Mechanics of deformable solids (74-XX) 3 Biology and other natural sciences (92-XX) 2 Number theory (11-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Potential theory (31-XX) 2 Difference and functional equations (39-XX) 2 Integral equations (45-XX) 2 Operator theory (47-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Manifolds and cell complexes (57-XX)

### Citations contained in zbMATH Open

146 Publications have been cited 2,365 times in 1,526 Documents Cited by Year
A mass transportation approach to quantitative isoperimetric inequalities. Zbl 1196.49033
Figalli, A.; Maggi, F.; Pratelli, A.
2010
Global-in-time weak measure solutions and finite-time aggregation for nonlocal interaction equations. Zbl 1215.35045
Carrillo, J. A.; Difrancesco, M.; Figalli, A.; Laurent, T.; Slepčev, D.
2011
Existence and uniqueness of martingale solutions for SDEs with rough or degenerate coefficients. Zbl 1169.60010
Figalli, Alessio
2008
Isoperimetry and stability properties of balls with respect to nonlocal energies. Zbl 1312.49051
Figalli, A.; Fusco, N.; Maggi, F.; Millot, V.; Morini, M.
2015
The Monge-Ampère equation and its applications. Zbl 1435.35003
Figalli, Alessio
2017
Non-local gradient dependent operators. Zbl 1252.35099
Bjorland, C.; Caffarelli, L.; Figalli, A.
2012
Nonlocal tug-of-war and the infinity fractional Laplacian. Zbl 1235.35278
Bjorland, Clayton; Caffarelli, Luis; Figalli, Alessio
2012
Regularity of solutions to the parabolic fractional obstacle problem. Zbl 1277.35088
Caffarelli, Luis; Figalli, Alessio
2013
Bootstrap regularity for integro-differential operators and its application to nonlocal minimal surfaces. Zbl 1316.35061
Barrios, Begoña; Figalli, Alessio; Valdinoci, Enrico
2014
The Monge-Ampère equation and its link to optimal transportation. Zbl 06377770
De Philippis, Guido; Figalli, Alessio
2014
On flows associated to Sobolev vector fields in Wiener spaces: An approach à la DiPerna-Lions. Zbl 1156.60036
Ambrosio, Luigi; Figalli, Alessio
2009
Optimal transportation on non-compact manifolds. Zbl 1198.49044
Fathi, Albert; Figalli, Alessio
2010
Stability for a GNS inequality and the log-HLS inequality, with application to the critical mass Keller-Segel equation. Zbl 1307.26027
Carlen, Eric A.; Figalli, Alessio
2013
A refined Brunn-Minkowski inequality for convex sets. Zbl 1192.52015
Figalli, A.; Maggi, F.; Pratelli, A.
2009
$$W^{2,1}$$ regularity for solutions of the Monge-Ampère equation. Zbl 1286.35107
De Philippis, Guido; Figalli, Alessio
2013
Asymptotics of the $$s$$-perimeter as $$s \searrow 0$$. Zbl 1275.49083
Dipierro, Serena; Figalli, Alessio; Palatucci, Giampiero; Valdinoci, Enrico
2013
The optimal partial transport problem. Zbl 1245.49059
Figalli, Alessio
2010
Transport maps for $$\beta$$-matrix models and universality. Zbl 1330.49046
Bekerman, F.; Figalli, A.; Guionnet, A.
2015
Mass transportation on sub-Riemannian manifolds. Zbl 1201.49048
Figalli, Alessio; Rifford, Ludovic
2010
A rigorous derivation from the kinetic Cucker-Smale model to the pressureless Euler system with nonlocal alignment. Zbl 1405.35206
Figalli, Alessio; Kang, Moon-Jin
2019
$$C^{1}$$ regularity of solutions of the Monge-Ampère equation for optimal transport in dimension two. Zbl 1170.35400
Figalli, Alessio; Loeper, Grégoire
2009
Continuity of optimal transport maps and convexity of injectivity domains on small deformations of $$\mathbb S^2$$. Zbl 1175.49040
Figalli, Alessio; Rifford, Ludovic
2009
Strongly nonlocal dislocation dynamics in crystals. Zbl 1304.35731
Dipierro, Serena; Figalli, Alessio; Valdinoci, Enrico
2014
On the shape of liquid drops and crystals in the small mass regime. Zbl 1279.76005
Figalli, A.; Maggi, F.
2011
A new transportation distance between non-negative measures, with applications to gradients flows with Dirichlet boundary conditions. Zbl 1203.35126
Figalli, Alessio; Gigli, Nicola
2010
Nearly round spheres look convex. Zbl 1241.53031
Figalli, Alessio; Rifford, Ludovic; Villani, Cedric
2012
Regularity and Bernstein-type results for nonlocal minimal surfaces. Zbl 1380.49060
Figalli, Alessio; Valdinoci, Enrico
2017
Some new well-posedness results for continuity and transport equations, and applications to the chromatography system. Zbl 1222.35060
Ambrosio, Luigi; Crippa, Gianluca; Figalli, Alessio; Spinolo, Laura V.
2009
A sharp stability result for the relative isoperimetric inequality inside convex cones. Zbl 1262.49045
Figalli, A.; Indrei, E.
2013
Semiclassical limit of quantum dynamics with rough potentials and well-posedness of transport equations with measure initial data. Zbl 1231.35186
Ambrosio, Luigi; Figalli, Alessio; Friesecke, Gero; Giannoulis, Johannes; Paul, Thierry
2011
Necessary and sufficient conditions for continuity of optimal transport maps on Riemannian manifolds. Zbl 1262.58013
Figalli, Alessio; Rifford, Ludovic; Villani, Cédric
2011
Sharp stability theorems for the anisotropic Sobolev and log-Sobolev inequalities on functions of bounded variation. Zbl 1286.46035
Figalli, Alessio; Maggi, Francesco; Pratelli, Aldo
2013
When is multidimensional screening a convex program? Zbl 1282.90085
Figalli, Alessio; Kim, Young-Heon; McCann, Robert J.
2011
On the Ma-Trudinger-Wang curvature on surfaces. Zbl 1203.53034
Figalli, Alessio; Rifford, Ludovic; Villani, Cédric
2010
A note on interior $$W^{2,1+ \varepsilon }$$ estimates for the Monge-Ampère equation. Zbl 1280.35153
De Philippis, G.; Figalli, A.; Savin, O.
2013
Hölder continuity and injectivity of optimal maps. Zbl 1281.49037
Figalli, Alessio; Kim, Young-Heon; McCann, Robert J.
2013
Global regularity for the free boundary in the obstacle problem for the fractional Laplacian. Zbl 1409.35044
Barrios, Begoña; Figalli, Alessio; Ros-Oton, Xavier
2018
Existence of Eulerian solutions to the semigeostrophic equations in physical space: The 2-dimensional periodic case. Zbl 1258.35164
Ambrosio, Luigi; Colombo, Maria; De Philippis, Guido; Figalli, Alessio
2012
Geodesics in the space of measure-preserving maps and plans. Zbl 1253.76007
Ambrosio, Luigi; Figalli, Alessio
2009
Sharp global estimates for local and nonlocal porous medium-type equations in bounded domains. Zbl 1443.35067
Bonforte, Matteo; Figalli, Alessio; Vázquez, Juan Luis
2018
A general class of free boundary problems for fully nonlinear elliptic equations. Zbl 1326.35137
Figalli, Alessio; Shahgholian, Henrik
2014
Quantitative stability for the Brunn-Minkowski inequality. Zbl 1380.52010
Figalli, Alessio; Jerison, David
2017
Confinement in nonlocal interaction equations. Zbl 1233.35032
Carrillo, J. A.; Di Francesco, M.; Figalli, A.; Laurent, T.; Slepčev, D.
2012
On the Hausdorff dimension of the Mather quotient. Zbl 1172.37018
Fathi, Albert; Rifford, Ludovic; Figalli, Alessio
2009
On the regularity of the pressure field of Brenier’s weak solutions to incompressible Euler equations. Zbl 1138.49031
Ambrosio, Luigi; Figalli, Alessio
2008
Partial regularity of Brenier solutions of the Monge-Ampère equation. Zbl 1193.35087
Figalli, Alessio; Kim, Young-Heon
2010
Regularity of optimal transport maps on multiple products of spheres. Zbl 1268.49053
Figalli, Alessio; Kim, Young-Heon; McCann, Robert J.
2013
Infinite speed of propagation and regularity of solutions to the fractional porous medium equation in general domains. Zbl 1377.35259
Bonforte, Matteo; Figalli, Alessio; Ros-Oton, Xavier
2017
Partial regularity for optimal transport maps. Zbl 1325.49051
De Philippis, Guido; Figalli, Alessio
2015
Rigidity and sharp stability estimates for hypersurfaces with constant and almost-constant nonlocal mean curvature. Zbl 1411.53030
Ciraolo, Giulio; Figalli, Alessio; Maggi, Francesco; Novaga, Matteo
2018
Total variation flow and sign fast diffusion in one dimension. Zbl 1242.35049
Bonforte, Matteo; Figalli, Alessio
2012
BMO-type norms related to the perimeter of sets. Zbl 1352.46026
Ambrosio, Luigi; Bourgain, Jean; Brezis, Haim; Figalli, Alessio
2016
Existence and uniqueness of maximal regular flows for non-smooth vector fields. Zbl 1348.34039
Ambrosio, Luigi; Colombo, Maria; Figalli, Alessio
2015
On the fine structure of the free boundary for the classical obstacle problem. Zbl 1408.35228
Figalli, Alessio; Serra, Joaquim
2019
Regularity properties of optimal maps between nonconvex domains in the plane. Zbl 1193.35086
Figalli, Alessio
2010
On the isoperimetric problem for radial log-convex densities. Zbl 1307.49046
Figalli, A.; Maggi, F.
2013
A global existence result for the semigeostrophic equations in three dimensional convex domains. Zbl 1287.35064
Ambrosio, Luigi; Colombo, Maria; De Philippis, Guido; Figalli, Alessio
2014
Geometry of minimizers for the interaction energy with mildly repulsive potentials. Zbl 1408.49035
Carrillo, J. A.; Figalli, A.; Patacchini, F. S.
2017
A simple proof of the Morse-Sard theorem in Sobolev spaces. Zbl 1157.58002
Figalli, Alessio
2008
Free boundary regularity in the parabolic fractional obstacle problem. Zbl 1420.35428
Barrios, Begoña; Figalli, Alessio; Ros-Oton, Xavier
2018
On stable solutions for boundary reactions: a De Giorgi-type result in dimension $$4 + 1$$. Zbl 1441.35254
Figalli, Alessio; Serra, Joaquim
2020
Existence, uniqueness, and regularity of optimal transport maps. Zbl 1132.28322
Figalli, Alessio
2007
A note on Cheeger sets. Zbl 1168.39008
Figalli, Alessio; Maggi, Francesco; Pratelli, Aldo
2009
High action orbits for Tonelli Lagrangians and superlinear Hamiltonians on compact configuration spaces. Zbl 1114.37034
Abbondandolo, Alberto; Figalli, Alessio
2007
Regularity theory for local and nonlocal minimal surfaces: an overview. Zbl 1385.49028
Cozzi, Matteo; Figalli, Alessio
2017
Stable solutions to semilinear elliptic equations are smooth up to dimension $$9$$. Zbl 1467.35172
Cabré, Xavier; Figalli, Alessio; Ros-Oton, Xavier; Serra, Joaquim
2020
Surface measures and convergence of the Ornstein-Uhlenbeck semigroup in Wiener spaces. Zbl 1228.60063
Ambrosio, Luigi; Figalli, Alessio
2011
Absolute continuity of Wasserstein geodesics in the Heisenberg group. Zbl 1246.53049
Figalli, A.; Juillet, N.
2008
Universality in several-matrix models via approximate transport maps. Zbl 1402.60009
Figalli, Alessio; Guionnet, Alice
2016
Second order stability for the Monge-Ampère equation and strong Sobolev convergence of optimal transport maps. Zbl 1278.35090
De Philippis, Guido; Figalli, Alessio
2013
On the Lagrangian structure of transport equations: the Vlasov-Poisson system. Zbl 1403.35085
Ambrosio, Luigi; Colombo, Maria; Figalli, Alessio
2017
Global well-posedness of the spatially homogeneous Kolmogorov-Vicsek model as a gradient flow. Zbl 1384.35130
Figalli, Alessio; Kang, Moon-Jin; Morales, Javier
2018
Quantitative stability for sumsets in $$\mathbb R^n$$. Zbl 1325.49052
Figalli, Alessio; Jerison, David
2015
Local semiconvexity of Kantorovich potentials on non-compact manifolds. Zbl 1228.49047
Figalli, Alessio; Gigli, Nicola
2011
On flows of $$H ^{3/2}$$-vector fields on the circle. Zbl 1195.46032
Figalli, Alessio
2010
Regularity results for very degenerate elliptic equations. Zbl 1282.35175
Colombo, Maria; Figalli, Alessio
2014
Regularity of optimal transport maps (after Ma-Trudinger-Wang and Loeper). Zbl 1211.49054
Figalli, Alessio
2010
Optimal regularity of the convex envelope. Zbl 1316.49019
De Philippis, Guido; Figalli, Alessio
2015
Symmetry results for critical anisotropic $$p$$-Laplacian equations in convex cones. Zbl 1453.35104
Ciraolo, Giulio; Figalli, Alessio; Roncoroni, Alberto
2020
Generic regularity of free boundaries for the obstacle problem. Zbl 1456.35234
Figalli, Alessio; Ros-Oton, Xavier; Serra, Joaquim
2020
Sharp boundary behaviour of solutions to semilinear nonlocal elliptic equations. Zbl 1392.35144
Bonforte, Matteo; Figalli, Alessio; Vázquez, Juan Luis
2018
Generalized solutions for the Euler equations in one and two dimensions. Zbl 1170.35078
Bernot, Marc; Figalli, Alessio; Santambrogio, Filippo
2009
Convergence to the viscous porous medium equation and propagation of chaos. Zbl 1180.35592
Figalli, Alessio; Philipowski, Robert
2008
Rigidity and stability of Caffarelli’s log-concave perturbation theorem. Zbl 1359.60050
De Philippis, Guido; Figalli, Alessio
2017
Gradient stability for the Sobolev inequality: the case $$p\geq 2$$. Zbl 1417.46023
Figalli, Alessio; Neumayer, Robin
2019
Semiclassical limit for mixed states with singular and rough potentials. Zbl 1264.81177
Figalli, Alessio; Ligabò, Marilena; Paul, Thierry
2012
An approximation lemma about the cut locus, with applications in optimal transport theory. Zbl 1172.53022
Figalli, Alessio; Villani, Cédric
2008
Regularity of monotone transport maps between unbounded domains. Zbl 1448.35188
Cordero-Erausquin, Dario; Figalli, Alessio
2019
On the regularity of the free boundary in the $$p$$-Laplacian obstacle problem. Zbl 1387.35631
Figalli, Alessio; Krummel, Brian; Ros-Oton, Xavier
2017
On the continuity of center-outward distribution and quantile functions. Zbl 1433.62132
Figalli, Alessio
2018
A note on the regularity of the free boundaries in the optimal partial transport problem. Zbl 1183.35277
Figalli, Alessio
2009
Almost everywhere well-posedness of continuity equations with measure initial data. (Existence presque partout des équations de continuité avec données initiales mesures.) Zbl 1195.35202
Ambrosio, Luigi; Figalli, Alessio
2010
Boundary $$\varepsilon$$-regularity in optimal transportation. Zbl 1307.49045
Chen, Shibing; Figalli, Alessio
2015
Synchronized traffic plans and stability of optima. Zbl 1148.49039
Bernot, Marc; Figalli, Alessio
2008
An overview of unconstrained free boundary problems. Zbl 1353.35322
Figalli, Alessio; Shahgholian, Henrik
2015
Closing Aubry sets. II. Zbl 1377.37090
Figalli, A.; Rifford, L.
2015
A general class of free boundary problems for fully nonlinear parabolic equations. Zbl 1338.35508
Figalli, Alessio; Shahgholian, Henrik
2015
A variational method for a class of parabolic PDEs. Zbl 1239.35074
Figalli, Alessio; Gangbo, Wilfrid; Yolcu, Turkay
2011
On sets of finite perimeter in Wiener spaces: reduced boundary and convergence to halfspaces. Zbl 1282.28002
Ambrosio, Luigi; Figalli, Alessio; Runa, Eris
2013
Sobolev regularity for Monge-Ampère type equations. Zbl 1271.49031
De Philippis, Guido; Figalli, Alessio
2013
Strong stability for the Wulff inequality with a crystalline norm. Zbl 07492702
Figalli, Alessio; Zhang, Yi Ru-Ya
2022
Sharp extinction rates for fast diffusion equations on generic bounded domains. Zbl 1467.35047
Bonforte, Matteo; Figalli, Alessio
2021
An invitation to optimal transport, Wasserstein distances, and gradient flows. Zbl 1472.49001
Figalli, Alessio; Glaudo, Federico
2021
On stable solutions for boundary reactions: a De Giorgi-type result in dimension $$4 + 1$$. Zbl 1441.35254
Figalli, Alessio; Serra, Joaquim
2020
Stable solutions to semilinear elliptic equations are smooth up to dimension $$9$$. Zbl 1467.35172
Cabré, Xavier; Figalli, Alessio; Ros-Oton, Xavier; Serra, Joaquim
2020
Symmetry results for critical anisotropic $$p$$-Laplacian equations in convex cones. Zbl 1453.35104
Ciraolo, Giulio; Figalli, Alessio; Roncoroni, Alberto
2020
Generic regularity of free boundaries for the obstacle problem. Zbl 1456.35234
Figalli, Alessio; Ros-Oton, Xavier; Serra, Joaquim
2020
On the sharp stability of critical points of the Sobolev inequality. Zbl 1440.35163
Figalli, Alessio; Glaudo, Federico
2020
Optimal regularity and structure of the free boundary for minimizers in cohesive zone models. Zbl 1442.49005
Caffarelli, L.; Cagnetti, F.; Figalli, A.
2020
A rigorous derivation from the kinetic Cucker-Smale model to the pressureless Euler system with nonlocal alignment. Zbl 1405.35206
Figalli, Alessio; Kang, Moon-Jin
2019
On the fine structure of the free boundary for the classical obstacle problem. Zbl 1408.35228
Figalli, Alessio; Serra, Joaquim
2019
Gradient stability for the Sobolev inequality: the case $$p\geq 2$$. Zbl 1417.46023
Figalli, Alessio; Neumayer, Robin
2019
Regularity of monotone transport maps between unbounded domains. Zbl 1448.35188
Cordero-Erausquin, Dario; Figalli, Alessio
2019
Optimal regularity for the convex envelope and semiconvex functions related to supersolutions of fully nonlinear elliptic equations. Zbl 07046610
Braga, J. Ederson M.; Figalli, Alessio; Moreira, Diego
2019
Global regularity for the free boundary in the obstacle problem for the fractional Laplacian. Zbl 1409.35044
Barrios, Begoña; Figalli, Alessio; Ros-Oton, Xavier
2018
Sharp global estimates for local and nonlocal porous medium-type equations in bounded domains. Zbl 1443.35067
Bonforte, Matteo; Figalli, Alessio; Vázquez, Juan Luis
2018
Rigidity and sharp stability estimates for hypersurfaces with constant and almost-constant nonlocal mean curvature. Zbl 1411.53030
Ciraolo, Giulio; Figalli, Alessio; Maggi, Francesco; Novaga, Matteo
2018
Free boundary regularity in the parabolic fractional obstacle problem. Zbl 1420.35428
Barrios, Begoña; Figalli, Alessio; Ros-Oton, Xavier
2018
Global well-posedness of the spatially homogeneous Kolmogorov-Vicsek model as a gradient flow. Zbl 1384.35130
Figalli, Alessio; Kang, Moon-Jin; Morales, Javier
2018
Sharp boundary behaviour of solutions to semilinear nonlocal elliptic equations. Zbl 1392.35144
Bonforte, Matteo; Figalli, Alessio; Vázquez, Juan Luis
2018
On the continuity of center-outward distribution and quantile functions. Zbl 1433.62132
Figalli, Alessio
2018
A quantitative analysis of metrics on $$\mathbb R^n$$ with almost constant positive scalar curvature, with applications to fast diffusion flows. Zbl 1408.53018
Ciraolo, Giulio; Figalli, Alessio; Maggi, Francesco
2018
The sharp quantitative Euclidean concentration inequality. Zbl 1385.39005
Figalli, Alessio; Maggi, Francesco; Mooney, Connor
2018
Symplectic $$G$$-capacities and integrable systems. Zbl 1395.57034
Figalli, Alessio; Palmer, Joseph; Pelayo, Álvaro
2018
Global existence for the semigeostrophic equations via Sobolev estimates for Monge-Ampère. Zbl 1406.35273
Figalli, Alessio
2018
The Monge-Ampère equation and its applications. Zbl 1435.35003
Figalli, Alessio
2017
Regularity and Bernstein-type results for nonlocal minimal surfaces. Zbl 1380.49060
Figalli, Alessio; Valdinoci, Enrico
2017
Quantitative stability for the Brunn-Minkowski inequality. Zbl 1380.52010
Figalli, Alessio; Jerison, David
2017
Infinite speed of propagation and regularity of solutions to the fractional porous medium equation in general domains. Zbl 1377.35259
Bonforte, Matteo; Figalli, Alessio; Ros-Oton, Xavier
2017
Geometry of minimizers for the interaction energy with mildly repulsive potentials. Zbl 1408.49035
Carrillo, J. A.; Figalli, A.; Patacchini, F. S.
2017
Regularity theory for local and nonlocal minimal surfaces: an overview. Zbl 1385.49028
Cozzi, Matteo; Figalli, Alessio
2017
On the Lagrangian structure of transport equations: the Vlasov-Poisson system. Zbl 1403.35085
Ambrosio, Luigi; Colombo, Maria; Figalli, Alessio
2017
Rigidity and stability of Caffarelli’s log-concave perturbation theorem. Zbl 1359.60050
De Philippis, Guido; Figalli, Alessio
2017
On the regularity of the free boundary in the $$p$$-Laplacian obstacle problem. Zbl 1387.35631
Figalli, Alessio; Krummel, Brian; Ros-Oton, Xavier
2017
Characterization of isoperimetric sets inside almost-convex cones. Zbl 1355.49035
Figalli, Alessio; Baer, Eric
2017
Quantitative stability of the Brunn-Minkowski inequality for sets of equal volume. Zbl 1369.49065
Figalli, Alessio; Jerison, David
2017
Lipschitz changes of variables between perturbations of log-concave measures. Zbl 1383.60006
Colombo, Maria; Figalli, Alessio; Jhaveri, Yash
2017
Partial $$W^{2,p}$$ regularity for optimal transport maps. Zbl 1364.35058
Chen, Shibing; Figalli, Alessio
2017
Regularity of codimension-1 minimizing currents under minimal assumptions on the integrand. Zbl 1386.49060
Figalli, Alessio
2017
BMO-type norms related to the perimeter of sets. Zbl 1352.46026
Ambrosio, Luigi; Bourgain, Jean; Brezis, Haim; Figalli, Alessio
2016
Universality in several-matrix models via approximate transport maps. Zbl 1402.60009
Figalli, Alessio; Guionnet, Alice
2016
On the density function on moduli spaces of toric 4-manifolds. Zbl 1386.53103
Figalli, Alessio; Pelayo, Álvaro
2016
Nonlinear bounds in Hölder spaces for the Monge-Ampère equation. Zbl 1338.35196
Figalli, Alessio; Jhaveri, Yash; Mooney, Connor
2016
Weak KAM theory for a weakly coupled system of Hamilton-Jacobi equations. Zbl 1355.49023
Figalli, Alessio; Gomes, Diogo; Marcon, Diego
2016
Stability results on the smoothness of optimal transport maps with general costs. Zbl 1406.35120
Chen, Shibing; Figalli, Alessio
2016
Isoperimetry and stability properties of balls with respect to nonlocal energies. Zbl 1312.49051
Figalli, A.; Fusco, N.; Maggi, F.; Millot, V.; Morini, M.
2015
Transport maps for $$\beta$$-matrix models and universality. Zbl 1330.49046
Bekerman, F.; Figalli, A.; Guionnet, A.
2015
Partial regularity for optimal transport maps. Zbl 1325.49051
De Philippis, Guido; Figalli, Alessio
2015
Existence and uniqueness of maximal regular flows for non-smooth vector fields. Zbl 1348.34039
Ambrosio, Luigi; Colombo, Maria; Figalli, Alessio
2015
Quantitative stability for sumsets in $$\mathbb R^n$$. Zbl 1325.49052
Figalli, Alessio; Jerison, David
2015
Optimal regularity of the convex envelope. Zbl 1316.49019
De Philippis, Guido; Figalli, Alessio
2015
Boundary $$\varepsilon$$-regularity in optimal transportation. Zbl 1307.49045
Chen, Shibing; Figalli, Alessio
2015
An overview of unconstrained free boundary problems. Zbl 1353.35322
Figalli, Alessio; Shahgholian, Henrik
2015
Closing Aubry sets. II. Zbl 1377.37090
Figalli, A.; Rifford, L.
2015
A general class of free boundary problems for fully nonlinear parabolic equations. Zbl 1338.35508
Figalli, Alessio; Shahgholian, Henrik
2015
Closing Aubry sets. I. Zbl 1321.37061
Figalli, A.; Rifford, L.
2015
A note on the dimension of the singular set in free interface problems. Zbl 1340.49044
De Philippis, Guido; Figalli, Alessio
2015
Generic hyperbolicity of aubry sets on surfaces. Zbl 1352.37169
Contreras, G.; Figalli, A.; Rifford, L.
2015
Stability results for the Brunn-Minkowski inequality. Zbl 1346.49068
Figalli, Alessio
2015
Bootstrap regularity for integro-differential operators and its application to nonlocal minimal surfaces. Zbl 1316.35061
Barrios, Begoña; Figalli, Alessio; Valdinoci, Enrico
2014
The Monge-Ampère equation and its link to optimal transportation. Zbl 06377770
De Philippis, Guido; Figalli, Alessio
2014
Strongly nonlocal dislocation dynamics in crystals. Zbl 1304.35731
Dipierro, Serena; Figalli, Alessio; Valdinoci, Enrico
2014
A general class of free boundary problems for fully nonlinear elliptic equations. Zbl 1326.35137
Figalli, Alessio; Shahgholian, Henrik
2014
A global existence result for the semigeostrophic equations in three dimensional convex domains. Zbl 1287.35064
Ambrosio, Luigi; Colombo, Maria; De Philippis, Guido; Figalli, Alessio
2014
Regularity results for very degenerate elliptic equations. Zbl 1282.35175
Colombo, Maria; Figalli, Alessio
2014
Perimeter of sets and BMO-type norms. (Périmètre d’ensembles et normes de type BMO.) Zbl 1316.46026
Ambrosio, Luigi; Bourgain, Jean; Brezis, Haïm; Figalli, Alessio
2014
How to recognize convexity of a set from its marginals. Zbl 1294.26022
Figalli, Alessio; Jerison, David
2014
Higher integrability for minimizers of the Mumford-Shah functional. Zbl 1316.49044
De Philippis, Guido; Figalli, Alessio
2014
Quantitative stability results for the Brunn-Minkowski inequality. Zbl 1373.49054
Figalli, Alessio
2014
WKB analysis of Bohmian dynamics. Zbl 1341.35139
Figalli, A.; Klein, C.; Markowich, P.; Sparber, C.
2014
An excess-decay result for a class of degenerate elliptic equations. Zbl 1286.35114
Colombo, Maria; Figalli, Alessio
2014
A geometric approach to correlation inequalities in the plane. Zbl 1288.60024
Figalli, A.; Maggi, F.; Pratelli, A.
2014
Partial regularity results in optimal transportation. Zbl 1323.49023
de Philippis, G.; Figalli, A.
2014
Regularity of solutions to the parabolic fractional obstacle problem. Zbl 1277.35088
Caffarelli, Luis; Figalli, Alessio
2013
Stability for a GNS inequality and the log-HLS inequality, with application to the critical mass Keller-Segel equation. Zbl 1307.26027
Carlen, Eric A.; Figalli, Alessio
2013
$$W^{2,1}$$ regularity for solutions of the Monge-Ampère equation. Zbl 1286.35107
De Philippis, Guido; Figalli, Alessio
2013
Asymptotics of the $$s$$-perimeter as $$s \searrow 0$$. Zbl 1275.49083
Dipierro, Serena; Figalli, Alessio; Palatucci, Giampiero; Valdinoci, Enrico
2013
A sharp stability result for the relative isoperimetric inequality inside convex cones. Zbl 1262.49045
Figalli, A.; Indrei, E.
2013
Sharp stability theorems for the anisotropic Sobolev and log-Sobolev inequalities on functions of bounded variation. Zbl 1286.46035
Figalli, Alessio; Maggi, Francesco; Pratelli, Aldo
2013
A note on interior $$W^{2,1+ \varepsilon }$$ estimates for the Monge-Ampère equation. Zbl 1280.35153
De Philippis, G.; Figalli, A.; Savin, O.
2013
Hölder continuity and injectivity of optimal maps. Zbl 1281.49037
Figalli, Alessio; Kim, Young-Heon; McCann, Robert J.
2013
Regularity of optimal transport maps on multiple products of spheres. Zbl 1268.49053
Figalli, Alessio; Kim, Young-Heon; McCann, Robert J.
2013
On the isoperimetric problem for radial log-convex densities. Zbl 1307.49046
Figalli, A.; Maggi, F.
2013
Second order stability for the Monge-Ampère equation and strong Sobolev convergence of optimal transport maps. Zbl 1278.35090
De Philippis, Guido; Figalli, Alessio
2013
On sets of finite perimeter in Wiener spaces: reduced boundary and convergence to halfspaces. Zbl 1282.28002
Ambrosio, Luigi; Figalli, Alessio; Runa, Eris
2013
Sobolev regularity for Monge-Ampère type equations. Zbl 1271.49031
De Philippis, Guido; Figalli, Alessio
2013
On supporting hyperplanes to convex bodies. Zbl 1288.52001
Figalli, Alessio; Kim, Young-Heon; McCann, Robert J.
2013
Aubry sets, Hamilton-Jacobi equations, and the Mañé conjecture. Zbl 1364.37137
Figalli, A.; Rifford, L.
2013
Stability in geometric and functional inequalities. Zbl 1364.49059
Figalli, Alessio
2013
Non-local gradient dependent operators. Zbl 1252.35099
Bjorland, C.; Caffarelli, L.; Figalli, A.
2012
Nonlocal tug-of-war and the infinity fractional Laplacian. Zbl 1235.35278
Bjorland, Clayton; Caffarelli, Luis; Figalli, Alessio
2012
Nearly round spheres look convex. Zbl 1241.53031
Figalli, Alessio; Rifford, Ludovic; Villani, Cedric
2012
Existence of Eulerian solutions to the semigeostrophic equations in physical space: The 2-dimensional periodic case. Zbl 1258.35164
Ambrosio, Luigi; Colombo, Maria; De Philippis, Guido; Figalli, Alessio
2012
Confinement in nonlocal interaction equations. Zbl 1233.35032
Carrillo, J. A.; Di Francesco, M.; Figalli, A.; Laurent, T.; Slepčev, D.
2012
Total variation flow and sign fast diffusion in one dimension. Zbl 1242.35049
Bonforte, Matteo; Figalli, Alessio
2012
Semiclassical limit for mixed states with singular and rough potentials. Zbl 1264.81177
Figalli, Alessio; Ligabò, Marilena; Paul, Thierry
2012
Isoperimetric-type inequalities on constant curvature manifolds. Zbl 1250.58008
Figalli, Alessio; Ge, Yuxin
2012
Global-in-time weak measure solutions and finite-time aggregation for nonlocal interaction equations. Zbl 1215.35045
Carrillo, J. A.; Difrancesco, M.; Figalli, A.; Laurent, T.; Slepčev, D.
2011
On the shape of liquid drops and crystals in the small mass regime. Zbl 1279.76005
Figalli, A.; Maggi, F.
2011
Semiclassical limit of quantum dynamics with rough potentials and well-posedness of transport equations with measure initial data. Zbl 1231.35186
Ambrosio, Luigi; Figalli, Alessio; Friesecke, Gero; Giannoulis, Johannes; Paul, Thierry
2011
...and 46 more Documents
all top 5

### Cited by 1,644 Authors

 82 Figalli, Alessio 46 Valdinoci, Enrico 39 Carrillo de la Plata, José Antonio 27 Dipierro, Serena 23 Novaga, Matteo 23 Röckner, Michael 20 Ambrosio, Luigi 19 Santambrogio, Filippo 17 Ros-Oton, Xavier 16 Fusco, Nicola 16 Rifford, Ludovic 15 Savin, Ovidiu V. 15 Shaposhnikov, Stanislav V. 14 Bogachev, Vladimir Igorevich 14 Maggi, Francesco 13 Vazquez, Juan Luis 12 Choi, Young-Pil 12 Ciraolo, Giulio 12 Luo, Dejun 12 Vauchelet, Nicolas 11 Brasco, Lorenzo 11 Caffarelli, Luis Ángel 11 Carlier, Guillaume 11 Indrei, Emanuel 11 McCann, Robert J. 11 Pratelli, Aldo 10 Gigli, Nicola 10 Goldman, Michael 10 Maldonado, Diego 10 Serra Montolí, Joaquim 10 Wang, Xu-Jia 9 Cabré, Xavier 9 Colombo, Maria 9 De Philippis, Guido 9 Fetecau, Razvan C. 9 Le, Nam Q. 9 Neumayer, Robin 8 Barrios Barrera, Begoña 8 Chen, Shibing 8 Cinti, Eleonora 8 Flandoli, Franco 8 Kitagawa, Jun 8 Rossi, Julio Daniel 8 Sire, Yannick 8 Topaloglu, Ihsan 8 Trevisan, Dario 7 Böröczky, Karoly jun. 7 Cesaroni, Annalisa 7 Cozzi, Matteo 7 Da Prato, Giuseppe 7 del Barrio, Eustasio 7 Fall, Mouhamed Moustapha 7 Fathi, Max 7 Jabin, Pierre-Emmanuel 7 Kim, Young-Heon 7 Lee, Paul W. Y. 7 Ohta, Shin-ichi 7 Patacchini, Francesco Saverio 7 Paul, Thierry 7 Ruffini, Berardo 7 Salani, Paolo 7 Shahgholian, Henrik 7 Velichkov, Bozhidar 7 Villani, Cédric 7 Warma, Mahamadi 7 Zhang, Xicheng 6 Abdellaoui, Boumediene 6 Bonforte, Matteo 6 Crippa, Gianluca 6 Guillen, Nestor 6 James, François 6 Lee, Ki-Ahm 6 Liu, Jiakun 6 Medina, Maria 6 Palatucci, Giampiero 6 Park, Jinwan 6 Pass, Brendan W. 6 Patrizi, Stefania 6 Peral Alonso, Ireneo 6 Slepčev, Dejan 6 Spolaor, Luca 5 Balogh, Zoltán M. 5 Bertozzi, Andrea Louise 5 Brézis, Haïm 5 Bucur, Claudia 5 Carlen, Eric Anders 5 Choksi, Rustum 5 Cicalese, Marco 5 Craig, Katy 5 da Silva, João Vítor 5 Del Pino, Manuel A. 5 del Teso, Félix 5 Erdős, László 5 Fang, Shizan 5 Fernández-Real, Xavier 5 Frank, Rupert L. 5 Gallouët, Thomas O. 5 Garofalo, Nicola 5 Guionnet, Alice 5 Julin, Vesa ...and 1,544 more Authors
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### Cited in 264 Serials

 113 Calculus of Variations and Partial Differential Equations 65 Archive for Rational Mechanics and Analysis 63 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 57 Journal of Functional Analysis 54 Journal of Differential Equations 44 Advances in Mathematics 37 Discrete and Continuous Dynamical Systems 35 SIAM Journal on Mathematical Analysis 33 Journal of Mathematical Analysis and Applications 30 Journal de Mathématiques Pures et Appliquées. Neuvième Série 28 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 27 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 26 Communications in Mathematical Physics 20 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 19 Communications in Partial Differential Equations 18 Transactions of the American Mathematical Society 17 Communications on Pure and Applied Mathematics 17 The Journal of Geometric Analysis 16 Communications on Pure and Applied Analysis 15 Mathematische Annalen 15 Probability Theory and Related Fields 15 Journal of the European Mathematical Society (JEMS) 14 Journal of Evolution Equations 13 Annali di Matematica Pura ed Applicata. Serie Quarta 13 Potential Analysis 13 NoDEA. Nonlinear Differential Equations and Applications 12 The Annals of Probability 12 Inventiones Mathematicae 12 Manuscripta Mathematica 12 Revista Matemática Iberoamericana 11 Proceedings of the American Mathematical Society 11 Bulletin des Sciences Mathématiques 11 Comptes Rendus. Mathématique. Académie des Sciences, Paris 10 Nonlinearity 10 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 10 Communications in Contemporary Mathematics 10 Advances in Calculus of Variations 9 Geometric and Functional Analysis. GAFA 9 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 9 Science China. Mathematics 8 Journal für die Reine und Angewandte Mathematik 8 Interfaces and Free Boundaries 8 Bulletin of Mathematical Sciences 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Numerische Mathematik 7 SIAM Journal on Control and Optimization 7 SIAM Journal on Numerical Analysis 7 Acta Applicandae Mathematicae 7 Applied Mathematics Letters 7 Journal of Nonlinear Science 7 Discrete and Continuous Dynamical Systems. Series S 7 Séminaire Laurent Schwartz. EDP et Applications 6 Journal d’Analyse Mathématique 6 Journal of Mathematical Physics 6 Journal of Statistical Physics 6 Mathematics of Computation 6 Applied Mathematics and Optimization 6 Duke Mathematical Journal 6 Mathematische Zeitschrift 6 Journal of Mathematical Sciences (New York) 6 Electronic Journal of Probability 6 Revista Matemática Complutense 6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 Kinetic and Related Models 6 Analysis & PDE 6 Stochastic and Partial Differential Equations. Analysis and Computations 6 Annals of PDE 5 Israel Journal of Mathematics 5 Chinese Annals of Mathematics. Series B 5 Physica D 5 Advanced Nonlinear Studies 5 SIAM Journal on Applied Dynamical Systems 4 Archiv der Mathematik 4 Indiana University Mathematics Journal 4 Publications Mathématiques 4 Memoirs of the American Mathematical Society 4 Quarterly of Applied Mathematics 4 Ricerche di Matematica 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Bulletin of the American Mathematical Society. New Series 4 Journal of Dynamics and Differential Equations 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 SIAM Journal on Scientific Computing 4 Doklady Mathematics 4 Acta Mathematica Sinica. English Series 4 Discrete and Continuous Dynamical Systems. Series B 4 Bollettino dell’Unione Matematica Italiana 3 Journal of Computational Physics 3 Journal of Geometry and Physics 3 The Annals of Statistics 3 Geometriae Dedicata 3 Journal of the Korean Mathematical Society 3 Journal of Optimization Theory and Applications 3 Journal of Theoretical Probability 3 Publicacions Matemàtiques 3 European Journal of Applied Mathematics 3 The Annals of Applied Probability 3 Journal of Mathematical Imaging and Vision 3 St. Petersburg Mathematical Journal 3 Journal of Convex Analysis ...and 164 more Serials
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### Cited in 49 Fields

 916 Partial differential equations (35-XX) 442 Calculus of variations and optimal control; optimization (49-XX) 210 Probability theory and stochastic processes (60-XX) 173 Differential geometry (53-XX) 111 Functional analysis (46-XX) 110 Statistical mechanics, structure of matter (82-XX) 107 Real functions (26-XX) 100 Global analysis, analysis on manifolds (58-XX) 91 Numerical analysis (65-XX) 87 Fluid mechanics (76-XX) 83 Operator theory (47-XX) 77 Measure and integration (28-XX) 76 Biology and other natural sciences (92-XX) 70 Dynamical systems and ergodic theory (37-XX) 64 Convex and discrete geometry (52-XX) 42 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 39 Operations research, mathematical programming (90-XX) 37 Mechanics of particles and systems (70-XX) 35 Ordinary differential equations (34-XX) 35 Quantum theory (81-XX) 34 Mechanics of deformable solids (74-XX) 29 Integral equations (45-XX) 23 Statistics (62-XX) 22 Linear and multilinear algebra; matrix theory (15-XX) 21 Potential theory (31-XX) 19 Systems theory; control (93-XX) 18 Harmonic analysis on Euclidean spaces (42-XX) 15 Functions of a complex variable (30-XX) 13 Information and communication theory, circuits (94-XX) 12 Several complex variables and analytic spaces (32-XX) 12 Difference and functional equations (39-XX) 12 Computer science (68-XX) 12 Geophysics (86-XX) 8 Geometry (51-XX) 8 General topology (54-XX) 7 Combinatorics (05-XX) 7 Optics, electromagnetic theory (78-XX) 6 History and biography (01-XX) 5 General and overarching topics; collections (00-XX) 4 Topological groups, Lie groups (22-XX) 4 Approximations and expansions (41-XX) 4 Manifolds and cell complexes (57-XX) 3 Algebraic geometry (14-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Number theory (11-XX) 1 Nonassociative rings and algebras (17-XX) 1 Abstract harmonic analysis (43-XX) 1 Algebraic topology (55-XX) 1 Mathematics education (97-XX)

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