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The classical Monge-Kantorovich (MK) problem as originally posed is concerned with how best to move a pile of soil or rubble to an excavation or fill with the least amount of work relative to some cost function.
L. V. Kantorovich, “On a problem of Monge,” Uspekhi Mat. Nauk
1948
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I. Ekeland and R. Teman, Convex Analysis and Variational Problems,
1976
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J. Dittmann, “On the Riemannian geometry of finite dimensional mixed states,” In Seminar Sophus Lie, vol. 3, pp. 73-87. 1993
1993
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J-F. Mertens, S. Sorin and S. Zamir, “Repeated Games. Part A: Background Material,” CORE Discussion Paper No 9420, Universit´e Catholique de Louvain, 1994
1994
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R. McCann, “A convexity principle for interacting gases,” Advances in Mathematics
1997
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S. Rachev and L. Rüschendorf, Mass Transportation Problems
1998
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J.-D. Benamou and Y. Brenier, “A computational fluid mechanics solution to the Monge–Kantorovich mass transfer problem,” Numerische Mathematik
2000
Cited alongside, same era.
F. Otto, “The geometry of dissipative evolution equations: the porous medium equation,” Communications in Partial Differential Equations
2001
Cited alongside, same era.
C. Villani, Topics in Optimal Transportation,
2003
Cited alongside, same era.
E. Tannenbaum, T. Georgiou, and A. Tannenbaum, A., “Signals and control aspects of optimal mass transport and the Boltzmann entropy,” in 49th IEEE Conference on Decision and Control (CDC), December 2010
2010
Cited alongside, same era.
S. Gustafson and I. M. Sigal, Mathematical Concepts of Quantum Mechanics
2011
Cited alongside, same era.
L. Ambrosio and N. Gigli, “A user’s guide to optimal mass transport,” in Modelling and Optimisation of Flows on Networks , volume 2062, Lecture Notes in Mathematics (Spriner), 1-155 (2012)
2012
Later among the works it cites.
2012
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L. Ning, T. Georgiou, and A. Tannenbaum, “On matrix–valued Monge�-Kantorovich optimal mass transport,” IEEE Transactions on Automatic Control
2015
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2016
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2016
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