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The duality theory of the Monge--Kantorovich transport problem is analyzed in a general setting.
On the translocation of masses
L. Kantorovich · 1942
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On a space of completely additive functions
L. V. Kantorovič and G. Š. Rubinšteĭn · 1958
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Forme abstraite du théorème de capacitabilité
G. Choquet · 1959
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Probabilities and metrics
R. M. Dudley · 1976
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Sur le théorème de Kantorovich-Rubinstein dans les espaces polonais
X. Fernique · 1981
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On a class of extremal problems in statistics
N. Gaffke and L. Rüschendorf · 1981
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Invariance principles in probability for triangular arrays of B B -valued random vectors and some applications
A. de Acosta · 1982
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On minimal metrics in the space of random variables
A. Szulga · 1982
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Duality theorems for marginal problems
H. G. Kellerer · 1984
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Real analysis and probability
R. M. Dudley · 1989
Cited alongside, same era.
Classical descriptive set theory
A. S. Kechris · 1995
Cited alongside, same era.
A general duality theorem for marginal problems
D. Ramachandran and L. Rüschendorf · 1995
Cited alongside, same era.
The geometry of optimal transportation
W. Gangbo and R. J. McCann · 1996
Cited alongside, same era.
Duality and perfect probability spaces
D. Ramachandran and L. Rüschendorf · 1996
Cited alongside, same era.
Measure transport on Wiener space and the Girsanov theorem
Denis Feyel and Ali Süleyman Üstünel · 2002
Cited alongside, same era.
Topics in optimal transportation
C. Villani · 2003
Free boundaries in optimal transport and Monge-Ampere obstacle problems
L. Cafarelli and Robert J. McCann · 2006
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Solution of the Monge-Ampère equation on Wiener space for general log-concave measures
D. Feyel and A. S. Üstünel · 2006
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A simple proof of duality theorem for Monge-Kantorovich problem
T. Mikami · 2006
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Duality theorem for the stochastic optimal control problem
T. Mikami and M. Thieullen · 2006
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Optimal and better transport plans
M. Beiglböck, M. Goldstern, G. Maresch, and W. Schachermayer · 2009
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On the duality of the Monge-Kantorovich transport problem
M. Beiglböck, C. Léonard, and W. Schachermayer · 2009
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Cited alongside, same era.
Monge-Kantorovich measure transportation and Monge-Ampère equation on Wiener space
D. Feyel and A. S. Üstünel · 2004
Cited alongside, same era.
Monge-Kantorovich measure transportation, Monge-Ampère equation and the Itô calculus
Denis Feyel and Ali Süleyman Üstünel · 2004
Cited alongside, same era.
Duality for Borel measurable cost functions
M. Beiglböck and W. Schachermayer · 2009
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The optimal partial transport problem
A. Figalli · 2009
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Optimal Transport. Old and New
C. Villani · 2009
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