Multi-marginal maximal monotonicity and convex analysis

[1]  Heinz H. Bauschke,et al.  A class of multi-marginal c-cyclically monotone sets with explicit c-splitting potentials , 2016, Journal of Mathematical Analysis and Applications.

[2]  Heinz H. Bauschke,et al.  The Resolvent Order: A Unification of the Orders by Zarantonello, by Loewner, and by Moreau , 2016, SIAM J. Optim..

[3]  Claus Griessler,et al.  $C$-cyclical monotonicity as a sufficient criterion for optimality in the multimarginal Monge–Kantorovich problem , 2016, Proceedings of the American Mathematical Society.

[4]  Simone Di Marino,et al.  Optimal transportation theory with repulsive costs , 2015, 1506.04565.

[5]  Simone Di Marino,et al.  Multimarginal Optimal Transport Maps for One–dimensional Repulsive Costs , 2015, Canadian Journal of Mathematics.

[6]  Brendan Pass Multi-marginal optimal transport: theory and applications , 2014, 1406.0026.

[7]  Claus Griessler,et al.  An optimality principle with applications in optimal transport , 2014, 1404.7054.

[8]  Simeon Reich,et al.  Optimal Pricing for Optimal Transport , 2014, 1405.4809.

[9]  Brendan Pass,et al.  A General Condition for Monge Solutions in the Multi-Marginal Optimal Transport Problem , 2013, SIAM J. Math. Anal..

[10]  Abbas Moameni,et al.  Symmetric Monge–Kantorovich problems and polar decompositions of vector fields , 2013, 1302.2886.

[11]  B. Maurey,et al.  Remarks on multi-marginal symmetric Monge-Kantorovich problems , 2012, 1212.1680.

[12]  Simeon Reich,et al.  Abstract convex optimal antiderivatives , 2012, 1401.6869.

[13]  Heinz H. Bauschke,et al.  Convex Analysis and Monotone Operator Theory in Hilbert Spaces , 2011, CMS Books in Mathematics.

[14]  Brendan Pass,et al.  On the local structure of optimal measures in the multi-marginal optimal transportation problem , 2010, 1005.2162.

[15]  C. Villani Optimal Transport: Old and New , 2008 .

[16]  Guillaume Carlier,et al.  OPTIMAL TRANSPORTATION FOR THE DETERMINANT , 2006, math/0612142.

[17]  W. Gangbo,et al.  The geometry of optimal transportation , 1996 .

[18]  L. Rüschendorf On c-optimal random variables , 1996 .

[19]  M. Knott,et al.  On a generalization of cyclic monotonicity and distances among random vectors , 1994 .

[20]  Vladimir Soloviov,et al.  Duality for nonconvex optimization and its applications , 1993 .

[21]  H. Kellerer Duality theorems for marginal problems , 1984 .

[22]  R. Rockafellar Characterization of the subdifferentials of convex functions , 1966 .

[23]  L. Schmetterer Zeitschrift fur Wahrscheinlichkeitstheorie und Verwandte Gebiete. , 1963 .

[24]  Filippo Santambrogio,et al.  Optimal Transport for Applied Mathematicians , 2015 .

[25]  Bastian Goldlücke,et al.  Variational Analysis , 2014, Computer Vision, A Reference Guide.

[26]  Guillaume Carlier,et al.  On a Class of Multidimensional Optimal Transportation Problems , 2003 .

[27]  W. Gangbo,et al.  Optimal maps for the multidimensional Monge-Kantorovich problem , 1998 .

[28]  Josef Štěpán,et al.  Distributions with given marginals and moment problems , 1997 .

[29]  Haim Brezis,et al.  Liquid Crystals and Energy Estimates for S2-Valued Maps , 1987 .

[30]  H. P. Annales de l'Institut Henri Poincaré , 1931, Nature.