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Monge-Kantorovich optimal mass transport (OMT) provides a blueprint for geometries in the space of positive densities -- it quantifies the cost of transporting a mass distribution into another.
R. Fortet
1940
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G. Birkhoff
1957
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A. Beurling
1960
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P. J. Bushell
1973
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H. Föllmer
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P. Dai Pra and M. Pavon
1990
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P. Dai Pra
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W. Gangbo and R. J. McCann
1996
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J.-D. Benamou and Y. Brenier
2000
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L. Caffarelli, M. Feldman, and R. McCann
2002
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S. Angenent, S. Haker, and A. Tannenbaum
2003
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R. Filliger and M.-O. Hongler
2005
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L. Ambrosio, N. Gigli, and G. Savaré
2006
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V. I. Bogachev
2007
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Y. Chen, T. Georgiou, and M. Pavon
2014
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2014
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