Robert McCann
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Canadian applied mathematician
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Robert McCann mathematics Degrees
Mathematics
#5539
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#7783
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Applied Mathematics
#367
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#394
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Measure Theory
#2725
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#3254
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Mathematics
Why Is Robert McCann Influential?
(Suggest an Edit or Addition)According to Wikipedia, Robert John McCann is a Canadian mathematician, known for his work in transportation theory. He has worked as a professor at the University of Toronto since 1998, and as Canada Research Chair in Mathematics, Economics, and Physics since 2020.
Robert McCann 's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- A Convexity Principle for Interacting Gases (1997) (900)
- The geometry of optimal transportation (1996) (833)
- Polar factorization of maps on Riemannian manifolds (2001) (487)
- Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates (2003) (472)
- Existence and uniqueness of monotone measure-preserving maps (1995) (444)
- Contractions in the 2-Wasserstein Length Space and Thermalization of Granular Media (2006) (348)
- A Riemannian interpolation inequality à la Borell, Brascamp and Lieb (2001) (316)
- Hedonic price equilibria, stable matching, and optimal transport: equivalence, topology, and uniqueness (2007) (254)
- Constructing optimal maps for Monge's transport problem as a limit of strictly convex costs (2001) (187)
- A Family of Nonlinear Fourth Order Equations of Gradient Flow Type (2009) (168)
- Continuity, curvature, and the general covariance of optimal transportation (2007) (155)
- Free boundaries in optimal transport and Monge-Ampere obstacle problems (2010) (154)
- Optimal maps in Monge's mass transport problem (1995) (122)
- Ricci flow, entropy and optimal transportation (2010) (112)
- Exact solutions to the transportation problem on the line (1999) (103)
- What ’ s the best way to (2003) (101)
- When is multidimensional screening a convex program? (2009) (99)
- Shape recognition via Wasserstein distance (2000) (94)
- Monge's transport problem on a Riemannian manifold (2001) (93)
- Uniqueness and transport density in Monge's mass transportation problem (2002) (82)
- A convexity theory for interacting gases and equilibrium crystals (1994) (80)
- Five lectures on optimal transportation: Geometry, regularity and applications (2010) (79)
- Hölder Continuity and Injectivity of Optimal Maps (2011) (78)
- Fast Diffusion to Self-Similarity: Complete Spectrum, Long-Time Asymptotics, and Numerology (2005) (74)
- Prekopa-Leindler type inequalities on Riemannian manifolds, Jacobi fields, and optimal transport (2006) (73)
- Towards the smoothness of optimal maps on Riemannian submersions and Riemannian products (of round spheres in particular) (2008) (60)
- Unique equilibria and substitution effects in a stochastic model of the marriage market (2010) (55)
- Regularity of optimal transport maps on multiple products of spheres (2010) (54)
- Pseudo-Riemannian geometry calibrates optimal transportation (2009) (46)
- Continuity and injectivity of optimal maps for non-negatively cross-curved costs (2009) (43)
- STABLE ROTATING BINARY STARS AND FLUID IN A TUBE (2006) (42)
- Optimal transportation, topology and uniqueness (2010) (41)
- Optimal transportation with capacity constraints (2012) (40)
- Constructing a relativistic heat flow by transport time steps (2009) (34)
- Potential theory and optimal convergence rates in fast nonlinear diffusion (2006) (33)
- Analysis and Geometry of Metric Measure Spaces (2013) (32)
- Displacement convexity of Boltzmann’s entropy characterizes the strong energy condition from general relativity (2018) (30)
- Equilibrium Shapes for Planar Crystals in an External Field (1998) (29)
- Phase transitions and symmetry breaking in singular diffusion (2003) (24)
- Rectifiability of Optimal Transportation Plans (2010) (24)
- The Ma–Trudinger–Wang curvature for natural mechanical actions (2009) (22)
- Higher order time asymptotics of fast diffusion in euclidean space: a dynamical systems approach (2012) (22)
- Second-order asymptotics for the fast-diffusion equation (2006) (21)
- Insights into capacity-constrained optimal transport (2013) (20)
- Becker Meets Ricardo: Multisector Matching with Communication and Cognitive Skills (2015) (20)
- Nonlinear diffusion from a delocalized source: affine self-similarity, time reversal, & nonradial focusing geometries☆ (2008) (20)
- The Spectrum of a Family of Fourth-Order Nonlinear Diffusions Near the Global Attractor (2015) (16)
- Multi‐to One‐Dimensional Optimal Transport (2017) (16)
- Exact semi-geostrophic flows in an elliptical ocean basinAppendix and figures prepared by Maxim Trok (2004) (15)
- On Concavity of the Monopolist's Problem Facing Consumers with Nonlinear Price Preferences (2017) (15)
- The geometry of shape recognition via the monge-kantorovich optimal transport problem (2004) (14)
- Multi- to one-dimensional transportation (2015) (14)
- Isodiametry, Variance, and Regular Simplices from Particle Interactions (2021) (14)
- A glimpse into the difierential topology and geometry of optimal transport (2012) (13)
- A Lorentzian analog for Hausdorff dimension and measure (2021) (12)
- Multidimensional matching (2016) (12)
- Optimal partition of a large labor force into working pairs (2010) (12)
- Dual potentials for capacity constrained optimal transport (2013) (11)
- A least action principle for steepest descent in a non-convex landscape (2004) (11)
- The intrinsic dynamics of optimal transport (2015) (10)
- Hölder Continuity for Optimal Multivalued Mappings (2010) (10)
- Becker Meets Ricardo: Multisector Matching with Social and Cognitive Skills (2012) (9)
- Inscribed Radius Bounds for Lower Ricci Bounded Metric Measure Spaces with Mean Convex Boundary (2020) (9)
- Extremal doubly stochastic measures and optimal transportation (2010) (8)
- Transition to nestedness in multi- to one-dimensional optimal transport (2018) (8)
- On supporting hyperplanes to convex bodies (2011) (8)
- On the cost-subdifferentials of cost-convex functions (2007) (8)
- An elementary approach to linear programming duality with application to capacity constrained transport (2014) (7)
- Explicit Yamabe Flow of an Asymmetric Cigar (2008) (7)
- Optimal Transportation Between Unequal Dimensions (2018) (7)
- Sharp decay rates for the fastest conservative diffusions (2005) (7)
- Displacement concavity of Boltzmann ’ s entropy characterizes positive energy in general relativity ∗ (2018) (7)
- Geometrical Bounds for Variance and Recentered Moments (2020) (7)
- Free Discontinuities in Optimal Transport (2017) (6)
- Independence of synthetic curvature dimension conditions on transport distance exponent (2020) (6)
- Publisher Correction to: Isodiametry, Variance, and Regular Simplices from Particle Interactions (2019) (5)
- Maximizing powers of the angle between pairs of points in projective space. (2020) (5)
- Dimensionality Reduction has Quantifiable Imperfections: Two Geometric Bounds (2018) (5)
- Academic wages and pyramid schemes: A mathematical model (2015) (4)
- Asymptotics Near Extinction for Nonlinear Fast Diffusion on a Bounded Domain (2022) (4)
- Classifying Minimum Energy States for Interacting Particles: Spherical Shells (2021) (4)
- Classifying Minimum Energy States for Interacting Particles: Regular Simplices (2021) (4)
- On the Cardinality of Sets in $R^d$ Obeying a Slightly Obtuse Angle Bound (2020) (4)
- Hölder Continuity and Injectivity of Optimal Maps (2013) (3)
- Chaotic response of the 2D semi-geostrophic and 3D quasi-geostrophic equations to gentle periodic forcing (2008) (3)
- Academic wages, Singularities, Phase Transitions and Pyramid Schemes (2015) (3)
- On Fejes Tóth’s Conjectured Maximizer for the Sum of Angles Between Lines (2020) (3)
- The Organization of the Labor Market with Communication and Cognitive Skills (2013) (2)
- Multidimensional matching: theory and empirics∗ (2020) (2)
- ON THE CARDINALITY OF SETS IN R OBEYING A (POSSIBLY SLIGHTLY OBTUSE) ANGLE BOUND∗ (2020) (2)
- A penalization approach to linear programming duality with application to capacity constrained transport (2013) (2)
- Maximizing expected powers of the angle between pairs of points in projective space (2020) (1)
- Calibrating optimal transportation: a new pseudo-Riemannian geometry (2009) (1)
- Dual measures for capacity constrained optimal transport (2013) (1)
- Long-time asymptotic expansions for nonlinear diffusions in Euclidean space ∗ (2014) (1)
- A duality and free boundary approach to adverse selection (2023) (1)
- Joint ventures. MRI as joint investment. (1984) (0)
- $C^{1,1}$ regularity for principal-agent problems (2023) (0)
- The spectrum of a family of fourth-order flows near the global attractor (2014) (0)
- Programme on “ Optimal Transport ” April 15 – June 14 , 2019 organized (2019) (0)
- She Remembers (2014) (0)
- Dual potentials for capacity constrained optimal transport (2014) (0)
- On Fejes Tóth’s Conjectured Maximizer for the Sum of Angles Between Lines (2021) (0)
- ON OPTIMAL TRANSPORTATION : GEOMETRY , REGULARITY AND APPLICATIONS (2010) (0)
- Correction to: Asymptotics Near Extinction for Nonlinear Fast Diffusion on a Bounded Domain (2023) (0)
- The spectrum of a family of fourth-order equations near the global attractor (2013) (0)
- FRG: Collaborative research: Applications of transportation theory to nonlinear dynamics (2009) (0)
- A P ] 2 8 M ay 2 01 8 Optimal transportation between unequal dimensions ∗ (2018) (0)
- Becker meets Ricardo: A social and cognitive skills model of human capabilities (2012) (0)
- CD(K,N) SPACES AND STABILITY UNDER GROMOV-HAUSDORFF (2022) (0)
- Special Issue: Optimal Transportation, Equilibrium, and Applications to Economics (2019) (0)
- Diameter bounds for metric measure spaces with almost positive Ricci curvature and mean convex boundary (2020) (0)
- The intrinsic dynamics of optimal transport R Mccann , (2019) (0)
- A synthetic null energy condition (2023) (0)
- Free Discontinuities in Optimal Transport (2019) (0)
- Vendor strategies (1994) (0)
- EVALUATION OF A LASER FOR USE AS A TRANSMISSOMETER CALIBRATOR. (1970) (0)
- LONG TIME ASYMPTOTICS FOR FAST DIFFUSION VIA DYNAMICAL SYSTEMS METHODS (2008) (0)
- Remuneration and honest sustenance for clerics in twentieth-century canon law (1994) (0)
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