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These notes constitute a sort of Crash Course in Optimal Transport Theory.
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L. Ambrosio, Lecture Notes on Optimal Transport Problems, Mathematical Aspects of Evolving Interfaces,
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L. Ambrosio and A. Pratelli. Existence and stability results in the L 1 L^{1} theory of optimal transportation, in Optimal transportation and applications
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Cited alongside, same era.
C. Villani. Topics in Optimal Transportation
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L. Ambrosio and P. Tilli, Topics on analysis in metric spaces
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Cited alongside, same era.
G. Monge, Mémoire sur la théorie des déblais et des remblais, Histoire de l’Académie Royale des Sciences de Paris
L. Ambrosio, N. Gigli and G. Savaré, Gradient flows in metric spaces and in the spaces of probability measures
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C. Jimenez, Optimisation de Problèmes de Transport, PhD thesis of Université du Sud-Toulon-Var, 2005
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T. Champion, L. De Pascale, P. Juutinen, The ∞ − \infty- Wasserstein distance: local solutions and existence of optimal transport maps, SIAM J. Math. An
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C. Villani, Optimal transport: Old and New
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F. Santambrogio, Models and applications of Optimal Transport Theory, lecture notes for the Summer School Optimal transportation : Theory and applications
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