Edit Profile (opens in new tab) McCann, Robert J. Co-Author Distance Author ID: mccann.robert-j Published as: McCann, Robert J.; McCann, Robert; McCann, Robert John; McCann, R. J. more...less Homepage: http://www.math.toronto.edu/mccann/ External Links: MGP · ORCID · Wikidata · dblp · GND · IdRef Documents Indexed: 84 Publications since 1993, including 1 Book and 10 Additional arXiv Preprints 5 Contributions as Editor · 1 Further Contribution Co-Authors: 66 Co-Authors with 78 Joint Publications 1,520 Co-Co-Authors all top 5 Co-Authors 10 single-authored 9 Kim, Young-Heon 7 Lim, Tongseok 5 Denzler, Jochen 5 Figalli, Alessio 5 Pass, Brendan W. 4 Chiappori, Pierre-André 4 Korman, Jonathan 4 Seis, Christian 4 Zhang, Kelvin Shuangjian 3 Feldman, Mikhail 3 Gangbo, Wilfrid 2 Ahmad, Najma 2 Alberti, Giovanni 2 Caffarelli, Luis Ángel 2 Carrillo de la Plata, José Antonio 2 Cordero-Erausquin, Dario 2 Davies, Cameron 2 Huisken, Gerhard 2 Kim, Hwa Kil 2 Kim, Yongjung 2 Koch, Herbert 2 Lieb, Elliott Hershel 2 Rankin, Cale 2 Schmuckenschläger, Michael 2 Villani, Cédric 2 Warren, Micah W. 1 Akdemir, Afiny 1 Brendle, Simon 1 Burchard, Almut 1 Burtscher, Annegret Y. 1 Cavalletti, Fabio 1 Choi, Beomjun 1 Colinet, Andrew 1 Dafni, Galia 1 De Lellis, Camillo 1 Decker, Colin 1 Erlinger, Alice 1 Galichon, Alfred 1 Geramita, Anthony Vito 1 Ghoussoub, Nassif A. 1 Goldman, Dorian 1 Guillen, Nestor 1 Kani, E. 1 Ketterer, Christian 1 Kitagawa, Jun 1 Lee, Paul W. Y. 1 Léger, Flavien 1 Loss, Michael 1 Matthes, Daniel 1 Nesheim, Lars P. 1 Oberman, Adam M. 1 Puel, Marjolaine 1 Rifford, Ludovic 1 Rivière, Tristan 1 Sämann, Clemens 1 Santarcangelo, Flavia 1 Savaré, Giuseppe 1 Shi, Xianwen 1 Siow, Aloysius 1 Slepčev, Dejan 1 Smith, Aaron Carl 1 Sosio, Maria 1 Stancu, Alina 1 Stephens, Benjamin K. 1 Topping, Peter Miles 1 Trokhimtchouk, Maxim 1 Wolthoff, Ronald P. 1 Woolgar, Eric all top 5 Serials 7 Archive for Rational Mechanics and Analysis 3 Communications in Mathematical Physics 3 Transactions of the American Mathematical Society 3 Calculus of Variations and Partial Differential Equations 3 Economic Theory 3 Oberwolfach Reports 2 Communications on Pure and Applied Mathematics 2 Nonlinearity 2 Journal of Economic Theory 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Communications in Partial Differential Equations 2 Methods and Applications of Analysis 2 Journal of the European Mathematical Society (JEMS) 1 Houston Journal of Mathematics 1 Journal of Mathematical Physics 1 Acta Mathematica 1 Advances in Mathematics 1 American Journal of Mathematics 1 Applied Mathematics and Optimization 1 Canadian Journal of Mathematics 1 Duke Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Functional Analysis 1 Journal für die Reine und Angewandte Mathematik 1 Mathematics of Operations Research 1 Memoirs of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 Probability Theory and Related Fields 1 Revista Matemática Iberoamericana 1 Journal of the American Mathematical Society 1 SIAM Journal on Discrete Mathematics 1 European Journal of Applied Mathematics 1 IMRN. International Mathematics Research Notices 1 Geometric and Functional Analysis. GAFA 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Convex Analysis 1 Mathematical Research Letters 1 Discrete and Continuous Dynamical Systems 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Annals of Mathematics. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 CRM Proceedings & Lecture Notes 1 Bulletin of Mathematical Sciences 1 Cambridge Journal of Mathematics 1 Journal de l’École Polytechnique – Mathématiques 1 Pure and Applied Analysis all top 5 Fields 49 Calculus of variations and optimal control; optimization (49-XX) 33 Partial differential equations (35-XX) 20 Global analysis, analysis on manifolds (58-XX) 20 Operations research, mathematical programming (90-XX) 17 Differential geometry (53-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Fluid mechanics (76-XX) 7 Measure and integration (28-XX) 7 Convex and discrete geometry (52-XX) 6 General and overarching topics; collections (00-XX) 6 Dynamical systems and ergodic theory (37-XX) 4 Real functions (26-XX) 4 Mechanics of particles and systems (70-XX) 4 Relativity and gravitational theory (83-XX) 3 Functional analysis (46-XX) 3 Geometry (51-XX) 3 Probability theory and stochastic processes (60-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Systems theory; control (93-XX) 2 Combinatorics (05-XX) 2 Potential theory (31-XX) 2 Operator theory (47-XX) 2 Mechanics of deformable solids (74-XX) 2 Geophysics (86-XX) 1 Algebraic geometry (14-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 73 Publications have been cited 2,606 times in 1,512 Documents Cited by ▼ Year ▼ A convexity principle for interacting gases. Zbl 0901.49012 McCann, Robert J. 352 1997 The geometry of optimal transportation. Zbl 0887.49017 Gangbo, Wilfrid; McCann, Robert J. 288 1996 Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates. Zbl 1073.35127 Carrillo, José A.; McCann, Robert J.; Villani, Cédric 221 2003 Polar factorization of maps on Riemannian manifolds. Zbl 1011.58009 McCann, Robert J. 185 2001 Contractions in the 2-Wasserstein length space and thermalization of granular media. Zbl 1082.76105 Carrillo, José A.; McCann, Robert J.; Villani, Cédric 176 2006 A Riemannian interpolation inequality à la Borell, Brascamp and Lieb. Zbl 1026.58018 Cordero-Erausquin, Dario; McCann, Robert J.; Schmuckenschläger, Michael 152 2001 Existence and uniqueness of monotone measure-preserving maps. Zbl 0873.28009 McCann, Robert J. 149 1995 A family of nonlinear fourth order equations of gradient flow type. Zbl 1187.35131 Matthes, Daniel; McCann, Robert J.; Savaré, Giuseppe 98 2009 Constructing optimal maps for Monge’s transport problem as a limit of strictly convex costs. Zbl 1053.49032 Caffarelli, Luis A.; Feldman, Mikhail; McCann, Robert J. 75 2002 Continuity, curvature, and the general covariance of optimal transportation. Zbl 1191.49046 Kim, Young-Heon; McCann, Robert J. 61 2010 Free boundaries in optimal transport and Monge-Ampère obstacle problems. Zbl 1196.35231 Caffarelli, Luis A.; McCann, Robert J. 56 2010 Ricci flow, entropy and optimal transportation. Zbl 1203.53065 McCann, Robert J.; Topping, Peter M. 56 2010 Hedonic price equilibria, stable matching, and optimal transport: Equivalence, topology, and uniqueness. Zbl 1183.91056 Chiappori, Pierre-André; McCann, Robert J.; Nesheim, Lars P. 53 2010 Monge’s transport problem on a Riemannian manifold. Zbl 1038.49041 Feldman, Mikhail; McCann, Robert J. 39 2002 Uniqueness and transport density in Monge’s mass transportation problem. Zbl 1003.49031 Feldman, Mikhail; McCann, Robert J. 38 2002 Optimal maps in Monge’s mass transport problem. Zbl 0858.49002 Gangbo, Wilfried; McCann, Robert J. 36 1995 Prékopa-Leindler type inequalities on Riemannian manifolds, Jacobi fields, and optimal transport. Zbl 1125.58007 Cordero-Erausquin, Dario; McCann, Robert J.; Schmuckenschläger, Michael 32 2006 Shape recognition via Wasserstein distance. Zbl 1039.49038 Gangbo, Wilfrid; McCann, Robert J. 32 2000 Fast diffusion to self-similarity: Complete spectrum, long-time asymptotics, and numerology. Zbl 1083.35074 Denzler, Jochen; McCann, Robert J. 31 2005 Exact solutions to the transportation problem on the line. Zbl 0947.90010 McCann, Robert J. 30 1999 When is multidimensional screening a convex program? Zbl 1282.90085 Figalli, Alessio; Kim, Young-Heon; McCann, Robert J. 27 2011 Hölder continuity and injectivity of optimal maps. Zbl 1281.49037 Figalli, Alessio; Kim, Young-Heon; McCann, Robert J. 27 2013 Stable rotating binary stars and fluid in a tube. Zbl 1096.85006 McCann, Robert J. 24 2006 Towards the smoothness of optimal maps on Riemannian submersions and Riemannian products (of round spheres in particular). Zbl 1239.53049 Kim, Young-Heon; McCann, Robert J. 22 2012 Displacement convexity of Boltzmann’s entropy characterizes the strong energy condition from general relativity. Zbl 1454.53058 McCann, Robert J. 22 2020 Optimal transportation with capacity constraints. Zbl 1305.90065 Korman, Jonathan; McCann, Robert J. 21 2015 Pseudo-Riemann geometry calibrates optimal transportation. Zbl 1222.49059 Kim, Young-Heon; McCann, Robert J.; Warren, Micah 20 2010 Constructing a relativistic heat flow by transport time steps. Zbl 1181.80001 McCann, Robert J.; Puel, Marjolaine 20 2009 Five lectures on optimal transportation: geometry, regularity and applications. Zbl 1271.49034 McCann, Robert J.; Guillen, Nestor 19 2013 Regularity of optimal transport maps on multiple products of spheres. Zbl 1268.49053 Figalli, Alessio; Kim, Young-Heon; McCann, Robert J. 19 2013 Potential theory and optimal convergence rates in fast nonlinear diffusion. Zbl 1112.35025 Kim, Yong Jung; McCann, Robert J. 14 2006 Optimal transportation, topology and uniqueness. Zbl 1255.49075 Ahmad, Najma; Kim, Hwa Kil; McCann, Robert J. 13 2011 Equilibrium shapes for planar crystals in an external field. Zbl 0936.74029 McCann, Robert J. 10 1998 Phase transitions and symmetry breaking in singular diffusion. Zbl 1076.35055 Denzler, Jochen; McCann, Robert J. 9 2003 Rectifiability of optimal transportation plans. Zbl 1248.49060 McCann, Robert J.; Pass, Brendan; Warren, Micah 9 2012 Nonlinear diffusion from a delocalized source: affine self-similarity, time reversal, and nonradial focusing geometries. Zbl 1146.76053 Denzler, Jochen; McCann, Robert J. 9 2008 The spectrum of a family of fourth-order nonlinear diffusions near the global attractor. Zbl 1323.35062 McCann, Robert J.; Seis, Christian 9 2015 Higher-order time asymptotics of fast diffusion in Euclidean space: a dynamical systems approach. Zbl 1315.35004 Denzler, Jochen; Koch, Herbert; McCann, Robert J. 9 2015 Isodiametry, variance, and regular simplices from particle interactions. Zbl 1470.49038 Lim, Tongseok; McCann, Robert J. 9 2021 Second-order asymptotics for the fast-diffusion equation. Zbl 1130.35080 McCann, Robert J.; Slepčev, Dejan 8 2006 Multi-to one-dimensional optimal transport. Zbl 1380.49066 Chiappori, Pierre-André; McCann, Robert J.; Pass, Brendan 8 2017 On concavity of the monopolist’s problem facing consumers with nonlinear price preferences. Zbl 1422.91269 McCann, Robert J.; Zhang, Kelvin Shuangjian 8 2019 Exact semi-geostrophic flows in an elliptical ocean basin. Zbl 1115.37070 McCann, Robert J.; Oberman, Adam M. 7 2004 Dual potentials for capacity constrained optimal transport. Zbl 1331.90095 Korman, Jonathan; McCann, Robert J.; Seis, Christian 7 2015 A Lorentzian analog for Hausdorff dimension and measure. Zbl 1505.28008 McCann, Robert J.; Sämann, Clemens 7 2022 Hölder continuity for optimal multivalued mappings. Zbl 1229.49040 McCann, R. J.; Sosio, M. 6 2011 An elementary approach to linear programming duality with application to capacity constrained transport. Zbl 1326.49054 Korman, Jonathan; McCann, Robert J.; Seis, Christian 6 2015 Optimal transportation between unequal dimensions. Zbl 1450.49022 McCann, Robert J.; Pass, Brendan 6 2020 The Ma-Trudinger-Wang curvature for natural mechanical actions. Zbl 1220.37045 Lee, Paul W. Y.; McCann, Robert J. 5 2011 Explicit Yamable flow of an asymmetric cigar. Zbl 1172.53042 Burchard, Almut; McCann, Robert J.; Smith, Aaron 5 2008 A least action principle for steepest descent in a non-convex landscape. Zbl 1084.37060 Ghoussoub, Nassif; McCann, Robert J. 5 2004 Inscribed radius bounds for lower Ricci bounded metric measure spaces with mean convex boundary. Zbl 1456.51007 Burtscher, Annegret; Ketterer, Christian; McCann, Robert J.; Woolgar, Eric 5 2020 Independence of synthetic curvature dimension conditions on transport distance exponent. Zbl 1469.49045 Akdemir, Afiny; Colinet, Andrew; McCann, Robert J.; Cavalletti, Fabio; Santarcangelo, Flavia 5 2021 Unique equilibria and substitution effects in a stochastic model of the marriage market. Zbl 1275.91098 Decker, Colin; Lieb, Elliott H.; McCann, Robert J.; Stephens, Benjamin K. 5 2013 Optimal partition of a large labor force into working pairs. Zbl 1186.91070 McCann, Robert J.; Trokhimtchouk, Maxim 4 2010 Free discontinuities in optimal transport. Zbl 1480.49045 Kitagawa, Jun; McCann, Robert 4 2019 Asymptotics near extinction for nonlinear fast diffusion on a bounded domain. Zbl 1509.35042 Choi, Beomjun; McCann, Robert J.; Seis, Christian 4 2023 On supporting hyperplanes to convex bodies. Zbl 1288.52001 Figalli, Alessio; Kim, Young-Heon; McCann, Robert J. 4 2013 Sharp decay rates for the fastest conservative diffusions. Zbl 1073.35132 Kim, Yong Jung; McCann, Robert J. 3 2005 Uniform density theorem for the Hubbard model. Zbl 0773.60091 Lieb, Elliott H.; Loss, Michael; McCann, Robert J. 3 1993 The intrinsic dynamics of optimal transport. (La dynamique intrinsèque du transport optimal.) Zbl 1364.49060 McCann, Robert J.; Rifford, Ludovic 3 2016 Transition to nestedness in multi- to one-dimensional optimal transport. Zbl 1428.49046 Chiappori, Pierre-André; McCann, Robert; Pass, Brendan 2 2019 Geometrical bounds for variance and recentered moments. Zbl 1493.62274 Lim, Tongseok; McCann, Robert J. 2 2022 A glimpse into the differential topology and geometry of optimal transport. Zbl 1275.49086 McCann, Robert J. 2 2014 Maximizing expected powers of the angle between pairs of points in projective space. Zbl 1514.90189 Lim, Tongseok; McCann, Robert J. 2 2022 On Fejes Tóth’s conjectured maximizer for the sum of angles between lines. Zbl 1478.90073 Lim, Tongseok; McCann, Robert J. 2 2021 Report 31/2006: Calculus of Variations (July 9th – July 15th, 2006). Zbl 1109.49300 1 2006 Lectures on the non-singular cubic surface in \({\mathbb{P}}^ 3\). Appendix A: The Hilbert-Burch theorem (by A. V. Geramita and E. Kani). Appendix B: Working and playing on the cubic surface (by Robert McCann). Zbl 0716.14023 Geramita, Anthony V. 1 1989 Long-time asymptotic expansions for nonlinear diffusions in Euclidean space. Zbl 1348.35030 Denzler, Jochen; Koch, Herbert; McCann, Robert J. 1 2016 Academic wages, singularities, phase transitions and pyramid schemes. Zbl 1375.91186 McCann, Robert J. 1 2014 On the cardinality of sets in \(\mathbb{R}^d\) obeying a slightly obtuse angle bound. Zbl 07524460 Lim, Tongseok; McCann, Robert J. 1 2022 Classifying minimum energy states for interacting particles: spherical shells. Zbl 1495.49024 Davies, Cameron; Lim, Tongseok; McCann, Robert J. 1 2022 Analysis and geometry of metric measure spaces. Lecture notes of the 50th Séminaire de Mathématiques Supérieures (SMS), Montréal, Canada, June 27 – July 8, 2011. Zbl 1261.58001 1 2013 Asymptotics near extinction for nonlinear fast diffusion on a bounded domain. Zbl 1509.35042 Choi, Beomjun; McCann, Robert J.; Seis, Christian 4 2023 A Lorentzian analog for Hausdorff dimension and measure. Zbl 1505.28008 McCann, Robert J.; Sämann, Clemens 7 2022 Geometrical bounds for variance and recentered moments. Zbl 1493.62274 Lim, Tongseok; McCann, Robert J. 2 2022 Maximizing expected powers of the angle between pairs of points in projective space. Zbl 1514.90189 Lim, Tongseok; McCann, Robert J. 2 2022 On the cardinality of sets in \(\mathbb{R}^d\) obeying a slightly obtuse angle bound. Zbl 07524460 Lim, Tongseok; McCann, Robert J. 1 2022 Classifying minimum energy states for interacting particles: spherical shells. Zbl 1495.49024 Davies, Cameron; Lim, Tongseok; McCann, Robert J. 1 2022 Isodiametry, variance, and regular simplices from particle interactions. Zbl 1470.49038 Lim, Tongseok; McCann, Robert J. 9 2021 Independence of synthetic curvature dimension conditions on transport distance exponent. Zbl 1469.49045 Akdemir, Afiny; Colinet, Andrew; McCann, Robert J.; Cavalletti, Fabio; Santarcangelo, Flavia 5 2021 On Fejes Tóth’s conjectured maximizer for the sum of angles between lines. Zbl 1478.90073 Lim, Tongseok; McCann, Robert J. 2 2021 Displacement convexity of Boltzmann’s entropy characterizes the strong energy condition from general relativity. Zbl 1454.53058 McCann, Robert J. 22 2020 Optimal transportation between unequal dimensions. Zbl 1450.49022 McCann, Robert J.; Pass, Brendan 6 2020 Inscribed radius bounds for lower Ricci bounded metric measure spaces with mean convex boundary. Zbl 1456.51007 Burtscher, Annegret; Ketterer, Christian; McCann, Robert J.; Woolgar, Eric 5 2020 On concavity of the monopolist’s problem facing consumers with nonlinear price preferences. Zbl 1422.91269 McCann, Robert J.; Zhang, Kelvin Shuangjian 8 2019 Free discontinuities in optimal transport. Zbl 1480.49045 Kitagawa, Jun; McCann, Robert 4 2019 Transition to nestedness in multi- to one-dimensional optimal transport. Zbl 1428.49046 Chiappori, Pierre-André; McCann, Robert; Pass, Brendan 2 2019 Multi-to one-dimensional optimal transport. Zbl 1380.49066 Chiappori, Pierre-André; McCann, Robert J.; Pass, Brendan 8 2017 The intrinsic dynamics of optimal transport. (La dynamique intrinsèque du transport optimal.) Zbl 1364.49060 McCann, Robert J.; Rifford, Ludovic 3 2016 Long-time asymptotic expansions for nonlinear diffusions in Euclidean space. Zbl 1348.35030 Denzler, Jochen; Koch, Herbert; McCann, Robert J. 1 2016 Optimal transportation with capacity constraints. Zbl 1305.90065 Korman, Jonathan; McCann, Robert J. 21 2015 The spectrum of a family of fourth-order nonlinear diffusions near the global attractor. Zbl 1323.35062 McCann, Robert J.; Seis, Christian 9 2015 Higher-order time asymptotics of fast diffusion in Euclidean space: a dynamical systems approach. Zbl 1315.35004 Denzler, Jochen; Koch, Herbert; McCann, Robert J. 9 2015 Dual potentials for capacity constrained optimal transport. Zbl 1331.90095 Korman, Jonathan; McCann, Robert J.; Seis, Christian 7 2015 An elementary approach to linear programming duality with application to capacity constrained transport. Zbl 1326.49054 Korman, Jonathan; McCann, Robert J.; Seis, Christian 6 2015 A glimpse into the differential topology and geometry of optimal transport. Zbl 1275.49086 McCann, Robert J. 2 2014 Academic wages, singularities, phase transitions and pyramid schemes. Zbl 1375.91186 McCann, Robert J. 1 2014 Hölder continuity and injectivity of optimal maps. Zbl 1281.49037 Figalli, Alessio; Kim, Young-Heon; McCann, Robert J. 27 2013 Five lectures on optimal transportation: geometry, regularity and applications. Zbl 1271.49034 McCann, Robert J.; Guillen, Nestor 19 2013 Regularity of optimal transport maps on multiple products of spheres. Zbl 1268.49053 Figalli, Alessio; Kim, Young-Heon; McCann, Robert J. 19 2013 Unique equilibria and substitution effects in a stochastic model of the marriage market. Zbl 1275.91098 Decker, Colin; Lieb, Elliott H.; McCann, Robert J.; Stephens, Benjamin K. 5 2013 On supporting hyperplanes to convex bodies. Zbl 1288.52001 Figalli, Alessio; Kim, Young-Heon; McCann, Robert J. 4 2013 Analysis and geometry of metric measure spaces. Lecture notes of the 50th Séminaire de Mathématiques Supérieures (SMS), Montréal, Canada, June 27 – July 8, 2011. Zbl 1261.58001 1 2013 Towards the smoothness of optimal maps on Riemannian submersions and Riemannian products (of round spheres in particular). Zbl 1239.53049 Kim, Young-Heon; McCann, Robert J. 22 2012 Rectifiability of optimal transportation plans. Zbl 1248.49060 McCann, Robert J.; Pass, Brendan; Warren, Micah 9 2012 When is multidimensional screening a convex program? Zbl 1282.90085 Figalli, Alessio; Kim, Young-Heon; McCann, Robert J. 27 2011 Optimal transportation, topology and uniqueness. Zbl 1255.49075 Ahmad, Najma; Kim, Hwa Kil; McCann, Robert J. 13 2011 Hölder continuity for optimal multivalued mappings. Zbl 1229.49040 McCann, R. J.; Sosio, M. 6 2011 The Ma-Trudinger-Wang curvature for natural mechanical actions. Zbl 1220.37045 Lee, Paul W. Y.; McCann, Robert J. 5 2011 Continuity, curvature, and the general covariance of optimal transportation. Zbl 1191.49046 Kim, Young-Heon; McCann, Robert J. 61 2010 Free boundaries in optimal transport and Monge-Ampère obstacle problems. Zbl 1196.35231 Caffarelli, Luis A.; McCann, Robert J. 56 2010 Ricci flow, entropy and optimal transportation. Zbl 1203.53065 McCann, Robert J.; Topping, Peter M. 56 2010 Hedonic price equilibria, stable matching, and optimal transport: Equivalence, topology, and uniqueness. Zbl 1183.91056 Chiappori, Pierre-André; McCann, Robert J.; Nesheim, Lars P. 53 2010 Pseudo-Riemann geometry calibrates optimal transportation. Zbl 1222.49059 Kim, Young-Heon; McCann, Robert J.; Warren, Micah 20 2010 Optimal partition of a large labor force into working pairs. Zbl 1186.91070 McCann, Robert J.; Trokhimtchouk, Maxim 4 2010 A family of nonlinear fourth order equations of gradient flow type. Zbl 1187.35131 Matthes, Daniel; McCann, Robert J.; Savaré, Giuseppe 98 2009 Constructing a relativistic heat flow by transport time steps. Zbl 1181.80001 McCann, Robert J.; Puel, Marjolaine 20 2009 Nonlinear diffusion from a delocalized source: affine self-similarity, time reversal, and nonradial focusing geometries. Zbl 1146.76053 Denzler, Jochen; McCann, Robert J. 9 2008 Explicit Yamable flow of an asymmetric cigar. Zbl 1172.53042 Burchard, Almut; McCann, Robert J.; Smith, Aaron 5 2008 Contractions in the 2-Wasserstein length space and thermalization of granular media. Zbl 1082.76105 Carrillo, José A.; McCann, Robert J.; Villani, Cédric 176 2006 Prékopa-Leindler type inequalities on Riemannian manifolds, Jacobi fields, and optimal transport. Zbl 1125.58007 Cordero-Erausquin, Dario; McCann, Robert J.; Schmuckenschläger, Michael 32 2006 Stable rotating binary stars and fluid in a tube. Zbl 1096.85006 McCann, Robert J. 24 2006 Potential theory and optimal convergence rates in fast nonlinear diffusion. Zbl 1112.35025 Kim, Yong Jung; McCann, Robert J. 14 2006 Second-order asymptotics for the fast-diffusion equation. Zbl 1130.35080 McCann, Robert J.; Slepčev, Dejan 8 2006 Report 31/2006: Calculus of Variations (July 9th – July 15th, 2006). Zbl 1109.49300 1 2006 Fast diffusion to self-similarity: Complete spectrum, long-time asymptotics, and numerology. Zbl 1083.35074 Denzler, Jochen; McCann, Robert J. 31 2005 Sharp decay rates for the fastest conservative diffusions. Zbl 1073.35132 Kim, Yong Jung; McCann, Robert J. 3 2005 Exact semi-geostrophic flows in an elliptical ocean basin. Zbl 1115.37070 McCann, Robert J.; Oberman, Adam M. 7 2004 A least action principle for steepest descent in a non-convex landscape. Zbl 1084.37060 Ghoussoub, Nassif; McCann, Robert J. 5 2004 Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates. Zbl 1073.35127 Carrillo, José A.; McCann, Robert J.; Villani, Cédric 221 2003 Phase transitions and symmetry breaking in singular diffusion. Zbl 1076.35055 Denzler, Jochen; McCann, Robert J. 9 2003 Constructing optimal maps for Monge’s transport problem as a limit of strictly convex costs. Zbl 1053.49032 Caffarelli, Luis A.; Feldman, Mikhail; McCann, Robert J. 75 2002 Monge’s transport problem on a Riemannian manifold. Zbl 1038.49041 Feldman, Mikhail; McCann, Robert J. 39 2002 Uniqueness and transport density in Monge’s mass transportation problem. Zbl 1003.49031 Feldman, Mikhail; McCann, Robert J. 38 2002 Polar factorization of maps on Riemannian manifolds. Zbl 1011.58009 McCann, Robert J. 185 2001 A Riemannian interpolation inequality à la Borell, Brascamp and Lieb. Zbl 1026.58018 Cordero-Erausquin, Dario; McCann, Robert J.; Schmuckenschläger, Michael 152 2001 Shape recognition via Wasserstein distance. Zbl 1039.49038 Gangbo, Wilfrid; McCann, Robert J. 32 2000 Exact solutions to the transportation problem on the line. Zbl 0947.90010 McCann, Robert J. 30 1999 Equilibrium shapes for planar crystals in an external field. Zbl 0936.74029 McCann, Robert J. 10 1998 A convexity principle for interacting gases. Zbl 0901.49012 McCann, Robert J. 352 1997 The geometry of optimal transportation. Zbl 0887.49017 Gangbo, Wilfrid; McCann, Robert J. 288 1996 Existence and uniqueness of monotone measure-preserving maps. Zbl 0873.28009 McCann, Robert J. 149 1995 Optimal maps in Monge’s mass transport problem. Zbl 0858.49002 Gangbo, Wilfried; McCann, Robert J. 36 1995 Uniform density theorem for the Hubbard model. Zbl 0773.60091 Lieb, Elliott H.; Loss, Michael; McCann, Robert J. 3 1993 Lectures on the non-singular cubic surface in \({\mathbb{P}}^ 3\). Appendix A: The Hilbert-Burch theorem (by A. V. Geramita and E. Kani). Appendix B: Working and playing on the cubic surface (by Robert McCann). Zbl 0716.14023 Geramita, Anthony V. 1 1989 all cited Publications top 5 cited Publications all top 5 Cited by 1,555 Authors 82 Carrillo de la Plata, José Antonio 45 McCann, Robert J. 36 Figalli, Alessio 26 Santambrogio, Filippo 25 Carlier, Guillaume 20 Matthes, Daniel 20 Savaré, Giuseppe 19 Sturm, Karl-Theodor 18 Pass, Brendan W. 17 Kim, Young-Heon 16 Gangbo, Wilfrid 16 Ghoussoub, Nassif A. 14 Ambrosio, Luigi 14 Bogachev, Vladimir Igorevich 14 Dolbeault, Jean 14 Guillin, Arnaud 14 Kolesnikov, Alexander V. 14 Li, Wuchen 13 Beiglböck, Mathias 13 Peletier, Mark Adriaan 13 Villani, Cédric 12 Agueh, Martial 12 Cavalletti, Fabio 12 Erbar, Matthias 12 Lim, Tongseok 12 Ohta, Shin-ichi 11 De Pascale, Luigi 11 Fetecau, Razvan C. 11 Slepčev, Dejan 11 Vazquez, Juan Luis 10 Blanchet, Adrien 10 Bolley, François 10 Chen, Shibing 10 Chen, Yongxin 10 Di Francesco, Marco 10 Dweik, Samer 10 Gentil, Ivan 10 Loeper, Grégoire 10 Monsaingeon, Léonard 10 Schmitzer, Bernhard 10 Wang, Xu-Jia 10 Wolansky, Gershon 10 Zinsl, Jonathan 9 del Barrio, Eustasio 9 Georgiou, Tryphon T. 9 Gigli, Nicola 9 Ketterer, Christian 9 Kitagawa, Jun 9 Lisini, Stefano 9 Patacchini, Francesco Saverio 9 Peyré, Gabriel 9 Pratelli, Aldo 9 Schlichting, André 9 Toscani, Giuseppe 8 Bonforte, Matteo 8 Craig, Katy 8 Laurent, Thomas 8 Mainini, Edoardo 8 Milman, Emanuel 8 Nazaret, Bruno 8 Rifford, Ludovic 8 Seis, Christian 8 Tugaut, Julian 8 Yao, Yao 7 Balogh, Zoltán M. 7 Bertrand, Jérôme 7 Cancès, Clément 7 Delanoë, Philippe P. 7 Friesecke, Gero 7 Gallouët, Thomas O. 7 Juillet, Nicolas 7 Kopfer, Eva 7 Laurençot, Philippe 7 Liu, Jiakun 7 Maas, Jan 7 Matrán, Carlos 7 Mielke, Alexander 7 Trudinger, Neil Sidney 6 Benamou, Jean-David 6 Carlen, Eric Anders 6 Choi, Young-Pil 6 Delgadino, Matias Gonzalo 6 Duong, Manh Hong 6 Fagioli, Simone 6 Huesmann, Martin 6 Klartag, Bo’az 6 Kristály, Alexandru 6 Kuwada, Kazumasa 6 Léonard, Christian 6 Mérigot, Quentin 6 Mészáros, Alpár Richárd 6 Muratori, Matteo 6 Osher, Stanley Joel 6 Rajala, Tapio 6 Shaposhnikov, Stanislav V. 6 Takatsu, Asuka 6 Tannenbaum, Allen Robert 6 Tudorascu, Adrian 6 Xia, Qinglan 6 Zhou, Hao-Min ...and 1,455 more Authors all top 5 Cited in 305 Serials 77 Calculus of Variations and Partial Differential Equations 62 Archive for Rational Mechanics and Analysis 59 Journal of Functional Analysis 43 SIAM Journal on Mathematical Analysis 32 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 29 Journal of Differential Equations 28 Discrete and Continuous Dynamical Systems 27 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 26 Advances in Mathematics 24 Journal de Mathématiques Pures et Appliquées. Neuvième Série 23 Journal of Mathematical Analysis and Applications 22 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 22 Communications in Partial Differential Equations 21 Probability Theory and Related Fields 20 Comptes Rendus. Mathématique. Académie des Sciences, Paris 19 Communications in Mathematical Physics 18 Journal of Computational Physics 17 The Annals of Probability 17 Advances in Calculus of Variations 16 The Journal of Geometric Analysis 13 Journal of Statistical Physics 13 Transactions of the American Mathematical Society 13 Journal of Scientific Computing 13 Stochastic Processes and their Applications 13 Bernoulli 12 Applied Mathematics and Optimization 12 Proceedings of the American Mathematical Society 12 European Journal of Applied Mathematics 12 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 12 Electronic Journal of Probability 11 Numerische Mathematik 11 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 11 SIAM Journal on Scientific Computing 11 Kinetic and Related Models 10 Communications on Pure and Applied Mathematics 10 Inventiones Mathematicae 10 Mathematische Annalen 10 SIAM Journal on Applied Mathematics 9 Duke Mathematical Journal 9 Journal of Mathematical Sciences (New York) 9 Economic Theory 9 Journal of the European Mathematical Society (JEMS) 9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 8 Journal of Mathematical Physics 8 Journal of the London Mathematical Society. Second Series 8 Journal of Optimization Theory and Applications 8 Memoirs of the American Mathematical Society 8 Physica D 8 The Annals of Applied Probability 8 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 8 Potential Analysis 8 Communications in Contemporary Mathematics 8 Information Geometry 7 Journal of Economic Theory 7 Journal of Multivariate Analysis 7 Manuscripta Mathematica 7 SIAM Journal on Control and Optimization 7 Geometric and Functional Analysis. GAFA 7 Journal of Nonlinear Science 7 Communications on Pure and Applied Analysis 7 Pure and Applied Analysis 6 Mathematics of Computation 6 Journal für die Reine und Angewandte Mathematik 6 Quarterly of Applied Mathematics 6 Acta Applicandae Mathematicae 6 Journal of Mathematical Imaging and Vision 6 Foundations of Computational Mathematics 6 SIAM Journal on Imaging Sciences 6 Analysis & PDE 6 Bulletin of Mathematical Sciences 6 SIAM/ASA Journal on Uncertainty Quantification 5 The Annals of Statistics 5 Mathematische Zeitschrift 5 SIAM Journal on Numerical Analysis 5 Applied Mathematics Letters 5 Differential Geometry and its Applications 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 SIAM Journal on Optimization 5 Journal of Evolution Equations 5 Science China. Mathematics 4 Computer Methods in Applied Mechanics and Engineering 4 Israel Journal of Mathematics 4 Mathematical Notes 4 Nonlinearity 4 Acta Mathematica 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 International Economic Review 4 Journal of the American Statistical Association 4 Journal of Computational and Applied Mathematics 4 Stochastic Analysis and Applications 4 Revista Matemática Iberoamericana 4 Bulletin of the American Mathematical Society. New Series 4 Mathematical Programming. Series A. Series B 4 NoDEA. Nonlinear Differential Equations and Applications 4 Journal of Convex Analysis 4 Bulletin des Sciences Mathématiques 4 Doklady Mathematics 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 4 Oberwolfach Reports 4 Stochastics ...and 205 more Serials all top 5 Cited in 52 Fields 646 Partial differential equations (35-XX) 586 Calculus of variations and optimal control; optimization (49-XX) 296 Probability theory and stochastic processes (60-XX) 245 Differential geometry (53-XX) 177 Numerical analysis (65-XX) 156 Global analysis, analysis on manifolds (58-XX) 120 Operations research, mathematical programming (90-XX) 118 Statistical mechanics, structure of matter (82-XX) 117 Fluid mechanics (76-XX) 99 Measure and integration (28-XX) 83 Statistics (62-XX) 79 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 75 Functional analysis (46-XX) 73 Biology and other natural sciences (92-XX) 67 Real functions (26-XX) 57 Operator theory (47-XX) 54 Convex and discrete geometry (52-XX) 53 Dynamical systems and ergodic theory (37-XX) 29 Integral equations (45-XX) 28 Systems theory; control (93-XX) 27 Computer science (68-XX) 26 Mechanics of particles and systems (70-XX) 23 Combinatorics (05-XX) 21 Mechanics of deformable solids (74-XX) 21 Information and communication theory, circuits (94-XX) 17 Difference and functional equations (39-XX) 16 Quantum theory (81-XX) 15 Functions of a complex variable (30-XX) 15 Several complex variables and analytic spaces (32-XX) 14 Relativity and gravitational theory (83-XX) 13 Potential theory (31-XX) 13 Geometry (51-XX) 13 Optics, electromagnetic theory (78-XX) 13 Geophysics (86-XX) 12 Ordinary differential equations (34-XX) 10 Astronomy and astrophysics (85-XX) 9 Approximations and expansions (41-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 General topology (54-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 General and overarching topics; collections (00-XX) 5 Algebraic geometry (14-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Topological groups, Lie groups (22-XX) 3 Abstract harmonic analysis (43-XX) 2 History and biography (01-XX) 2 Manifolds and cell complexes (57-XX) 1 Number theory (11-XX) 1 Nonassociative rings and algebras (17-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Algebraic topology (55-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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