RM
Robert McCann
math.APmath.OCmath.DGmath.MPmath-phmath.MGgr-qcmath.PRecon.THmath.ST
On Valency
published · living versionsW_d7qdcwxs·v1 · currentpublished
Preprints & journals
58 papers in the corpus · 1993–2026Almost-splitting of spacetimes under timelike sectional curvature bounds2610.10051v1 · Nicola Gigli, Melanie Graf, Robert J. McCann et al.2026 · 0 citationsarXiv
Failure of local equi-Lipschitzness for families of Lorentz distances to Cauchy surface foliations2606.21997v2 · Gregory J. Galloway, Robert J. McCann, Argam Ohanyan2026 · 0 citationsarXiv
Positive resolution of Bartnik's cosmological splitting conjecture2606.03873v3 · Robert J. McCann, Argam Ohanyan2026 · 0 citationsarXiv
On the Hausdorff dimension and singularities of the monopolist's free boundary curve2603.14100v2 · Robert J. McCann, Lucas D. O'Brien, Cale Rankin2026 · 0 citationsarXiv
A Lorentzian splitting theorem for continuously differentiable metrics and weights2507.06836v1 · Mathias Braun, Nicola Gigli, Robert J. McCann et al.2025 · 0 citationsarXiv
Trading linearity for ellipticity: a nonsmooth approach to Einstein's theory of gravity and the Lorentzian splitting theorems2501.00702v1 · Robert J. McCann2025 · 0 citationsarXiv
The monopolist's free boundary problem in the plane2412.15505v4 · Robert J. McCann, Cale Rankin, Kelvin Shuangjian Zhang2024 · 0 citationsarXiv
An elliptic proof of the splitting theorems from Lorentzian geometry2410.12632v2 · Mathias Braun, Nicola Gigli, Robert J. McCann et al.2024 · 1 citationarXiv
A nonlinear d'Alembert comparison theorem and causal differential calculus on metric measure spacetimes2408.15968v2 · Tobias Beran, Mathias Braun, Matteo Calisti et al.2024 · 0 citationsarXiv
Causal convergence conditions through variable timelike Ricci curvature bounds2312.17158v2 · Mathias Braun, Robert J. McCann2023 · 1 citationarXiv
Comment on "Ironing, sweeping, and multidimensional screening''2311.13012v2 · Robert J. McCann, Kelvin Shuangjian Zhang2023 · 0 citationsarXiv
A geometric approach to apriori estimates for optimal transport maps2311.10208v2 · Simon Brendle, Flavien L'eger, Robert J. McCann et al.2023 · 0 citationsarXiv
A synthetic null energy condition2304.14341v3 · Robert J. McCann2023 · 11 citationsarXiv
regularity for principal-agent problems2303.04937v3 · Robert J. McCann, Cale Rankin, Kelvin Shuangjian Zhang2023 · 1 citationarXiv
A duality and free boundary approach to adverse selection2301.07660v2 · Robert J. McCann, Kelvin Shuangjian Zhang2023 · 3 citationsarXiv
Asymptotics Near Extinction for Nonlinear Fast Diffusion on a Bounded Domain.36861142 · Choi, Beomjun, McCann, Robert J, Seis, Christian2023 · 13 citationsArchive for rational mechanics and analysis. 2023;247(2):16
A Lorentzian analog for Hausdorff dimension and measure2110.04386v2 · Robert J. McCann, Clemens Samann2021 · 19 citationsPure Appl. Analysis 4 (2022) 367-400
Classifying minimum energy states for interacting particles: Regular simplices2109.07091v3 · Cameron Davies, Tongseok Lim, Robert J. McCann2021 · 12 citationsarXiv
Classifying minimum energy states for interacting particles: Spherical Shells2107.11718v2 · Cameron Davies, Tongseok Lim, Robert J. McCann2021 · 13 citationsarXiv
On the cardinality of sets in obeying a slightly obtuse angle bound2007.13871v4 · Tongseok Lim, Robert J. McCann2020 · 0 citationsarXiv
Maximizing expected powers of the angle between pairs of points in projective space2007.13052v3 · Tongseok Lim, Robert J. McCann2020 · 1 citationarXiv
Independence of synthetic Curvature Dimension conditions on transport distance exponent2007.10980v1 · Afiny Akdemir, Fabio Cavalletti, Andrew Colinet et al.2020 · 7 citationsTrans. Amer. Math. Soc. 374 (2021) 5877-5923
Inscribed Radius Bounds for Lower Ricci Bounded Metric Measure Spaces with Mean Convex Boundary2005.07435v5 · Annegret Burtscher, Christian Ketterer, Robert J. McCann et al.2020 · 4 citationsSIGMA 16 (2020), 131, 29 pages
Geometrical bounds for the variance and recentered moments2001.11851v1 · Tongseok Lim, Robert J. McCann2020 · 8 citationsarXiv
Isodiametry, variance, and regular simplices from particle interactions1907.13593v4 · Tongseok Lim, Robert J McCann2019 · 22 citationsArchive Rational Mech. Analysis 241 (2021) 553-576
Dimensionality Reduction has Quantifiable Imperfections: Two Geometric Bounds1811.00115v1 · Kry Yik Chau Lui, Gavin Weiguang Ding, Ruitong Huang et al.2018 · 5 citationsNeural Information Processing Systems (NIPS 2018)
Displacement convexity of Boltzmann's entropy characterizes the strong energy condition from general relativity1808.01536v3 · Robert J McCann2018 · 53 citationsCambridge Journal of Mathematics 8:3 (2020) 609-681
Optimal transportation between unequal dimensions1805.11187v2 · Robert J McCann, Brendan Pass2018 · 13 citationsarXiv
On concavity of the monopolist's problem facing consumers with nonlinear price preferences1709.00632v1 · Robert J. McCann, Kelvin Shuangjian Zhang2017 · 16 citationsCommunications on Pure and Applied Mathematics 72(7) (2019) 1386-1423
Multidimensional matching1604.05771v1 · Pierre-Andr'e Chiappori, Robert McCann, Brendan Pass2016 · 8 citationsarXiv
Multi- to one-dimensional transportation1510.00717v2 · Pierre-Andr'e Chiappori, Robert J McCann, Brendan Pass2015 · 30 citationsComm. Pure Appl. Math. 70 (2017) 2405-2444
Academic wages and pyramid schemes: a mathematical model1505.00873v1 · Alice Erlinger, Robert J. McCann, Xianwen Shi et al.2015 · 4 citationsJ. Functional Analysis 269 (2015) 2709-2746
The intrinsic dynamics of optimal transport1505.00830v1 · Robert J. McCann, Ludovic Rifford2015 · 11 citationsJ. Ecole Polytechnique - Math. 3 (2016) 67-98
The spectrum of a family of fourth-order equations near the global attractor1311.6525v1 · Robert J. McCann, Christian Seis2013 · 0 citationsarXiv
A penalization approach to linear programming duality with application to capacity constrained transport1309.3022v1 · Jonathan Korman, Robert J. McCann, Christian Seis2013 · 3 citationsarXiv
Dual potentials for capacity constrained optimal transport1307.7774v2 · Jonathan Korman, Robert J. McCann, Christian Seis2013 · 14 citationsarXiv
Insights into capacity-constrained optimal transport.23733929 · Korman, Jonathan, McCann, Robert J2013 · 19 citationsProceedings of the National Academy of Sciences of the United States of America. 2013;110(25):10064-7
Higher order time asymptotics of fast diffusion in euclidean space: a dynamical systems approach1204.6434v1 · Jochen Denzler, Herbert Koch, Robert McCann2012 · 25 citationsarXiv
Optimal Transportation with Capacity Constraints1201.6404v3 · Jonathan Korman, Robert J. McCann2012 · 49 citationsarXiv
Hölder continuity and injectivity of optimal maps1107.1014v1 · Alessio Figalli, Young-Heon Kim, Robert J. McCann2011 · 9 citationsarXiv
On supporting hyperplanes to convex bodies1107.1016v1 · Alessio Figalli, Young-Heon Kim, Robert J. McCann2011 · 5 citationsarXiv
Unique equilibria and substitution effects in a stochastic model of the marriage market1012.1904v2 · Colin Decker, Elliott H. Lieb, Robert J. McCann et al.2010 · 53 citationsarXiv
Five lectures on optimal transportation: Geometry, regularity and applications1011.2911v1 · Nestor Guillen, Robert McCann2010 · 58 citationsarXiv
Optimal transportation, topology and uniqueness1008.4419v1 · Najma Ahmad, Hwa Kil Kim, Robert J. McCann2010 · 39 citationsarXiv
Hölder continuity for optimal multivalued mappings1007.3395v1 · Robert J. McCann, Maria Sosio2010 · 3 citationsarXiv
Regularity of optimal transport maps on multiple products of spheres1006.1957v1 · Alessio Figalli, Young-Heon Kim, Robert J. McCann2010 · 44 citationsarXiv
Extremal doubly stochastic measures and optimal transportation1004.4147v1 · Najma Ahmad, Hwa Kil Kim, Robert J. McCann2010 · 6 citationsarXiv
Rectifiability of Optimal Transportation Plans1003.4556v1 · Robert J. McCann, Brendan Pass, Micah Warren2010 · 23 citationsCan. J. Math.-J. Can. Math. 64 (2012) 924-934
When is multidimensional screening a convex program?0912.3033v1 · Alessio Figalli, Young-Heon Kim, Robert J. McCann2009 · 88 citationsarXiv
Continuity and injectivity of optimal maps for non-negatively cross-curved costs0911.3952v1 · Alessio Figalli, Young-Heon Kim, Robert J. McCann2009 · 78 citationsArch. Rational Mech. Anal. 209 (2013) 747-795
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