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The aim of this article is to show that the Monge-Kantorovich problem is the limit of a sequence of entropy minimization problems when a fluctuation parameter tends down to zero.
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R. McCann · 1995
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Variational Analysis
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T. Mikami and M. Thieullen · 2006
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A. Dembo and O. Zeitouni · 1998
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Closedness of sum spaces and the generalized Schrödinger problem
L. Rüschendorf and W. Thomsen · 1998
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From a large-deviation proinciple to the Wasserstein gradient flow: a new micro-macro passage
S. Adams, N. Dirr, M. Peletier, and J. Zimmer
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Matching with trade-offs: revealed preferences over competing characteristics
A. Galichon and B. Salanie
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A saddle-point approach to the Monge-Kantorovich transport problem
C. Léonard
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C. Villani · 2009
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