Optimal transportation, topology and uniqueness, Bulletin of Mathematical Sciences, vol.20, issue.1, pp.13-32, 2011. ,
DOI : 10.1007/s13373-011-0002-7
The Support of Extremal Probability Measures with Given Marginals ,
DOI : 10.1007/978-94-009-3963-9_4
Optimal mass transportation and Mather theory, Journal of the European Mathematical Society, vol.9, pp.85-121, 2007. ,
DOI : 10.4171/JEMS/74
URL : https://hal.archives-ouvertes.fr/hal-00003587
A generic property of families of Lagrangian systems, Annals of Mathematics, vol.167, issue.3, pp.1099-1108, 2008. ,
DOI : 10.4007/annals.2008.167.1099
URL : https://hal.archives-ouvertes.fr/hal-00294671
On the extremality, uniqueness, and optimality of transference plans, Bull. Inst. Math. Acad. Sin. (N.S.), vol.4, pp.353-454, 2009. ,
Polar factorization and monotone rearrangement of vector-valued functions, Communications on Pure and Applied Mathematics, vol.117, issue.4, pp.375-417, 1991. ,
DOI : 10.1002/cpa.3160440402
Hedonic price equilibria, stable matching, and optimal transport: equivalence, topology, and uniqueness, Economic Theory, vol.77, issue.1, pp.317-354, 2010. ,
DOI : 10.1007/s00199-009-0455-z
Generalized gradients and applications, Transactions of the American Mathematical Society, vol.205, pp.247-262, 1975. ,
DOI : 10.1090/S0002-9947-1975-0367131-6
Optimization and Nonsmooth Analysis, 1983. ,
DOI : 10.1137/1.9781611971309
Geometric Measure Theory, 1969. ,
DOI : 10.1007/978-3-642-62010-2
Habilitation thesis, 1995. ,
The geometry of optimal transportation, Acta Mathematica, vol.177, issue.2, pp.113-161, 1996. ,
DOI : 10.1007/BF02392620
Shape recognition via Wasserstein distance, Quarterly of Applied Mathematics, vol.58, issue.4, pp.705-737, 2000. ,
DOI : 10.1090/qam/1788425
On the inverse implication of Brenier-McCann theorems and the structure of, Methods Appl. Anal, vol.18, issue.2 2, pp.127-158, 2011. ,
Stable mappings and their singularities, Graduate Texts in Mathematics, vol.14, 1973. ,
DOI : 10.1007/978-1-4615-7904-5
Supports of Doubly Stochastic Measures, Bernoulli, vol.1, issue.3, pp.217-243, 1995. ,
DOI : 10.2307/3318478
Abstract cyclical monotonicity and Monge solutions for the general Monge- Kantorovich problem. Set-Valued Anal, p.732, 1999. ,
On generic uniqueness of optimal solution in an infinite dimensional linear programming problem, Doklady Mathematics, vol.78, issue.1, pp.21-233, 2008. ,
DOI : 10.1134/S1064562408040054
Generic properties and problems of minimizing measures of Lagrangian systems, Nonlinearity, vol.9, issue.2, pp.273-310, 1996. ,
DOI : 10.1088/0951-7715/9/2/002
Existence and uniqueness of monotone measure-preserving maps. Duke Math, J, vol.80, p.309323, 1995. ,
Polar factorization of maps on Riemannian manifolds, Geometric and Functional Analysis, vol.11, issue.3, pp.589-608, 2001. ,
DOI : 10.1007/PL00001679
Topology from the differential viewpoint, Princeton Landmarks in Mathematics, 1997. ,
Supports of Extremal Doubly Stochastic Measures, Bulletin canadien de math??matiques, vol.59, issue.2, 2014. ,
DOI : 10.4153/CMB-2015-075-3
Sub-Riemannian Geometry and Optimal Transport, Springerbriefs in Mathematics, 2014. ,
DOI : 10.1007/978-3-319-04804-8
URL : https://hal.archives-ouvertes.fr/hal-01131787
A course on Borel sets, Graduate Texts in Mathematics, vol.180, 1998. ,
DOI : 10.1007/978-3-642-85473-6
Optimal transport, old and new, Grundlehren des mathematischen Wissenschaften, vol.338, 2009. ,
Geometric Integration Theory, 1957. ,
DOI : 10.1515/9781400877577
On the differentiability of convex functions in finite and infinite dimensional spaces, Czechoslovak Math. J, vol.29, pp.34-348, 1979. ,