Geodesic
Mass transport problem and derivation
Applicationes Mathematicae, Tome 26 (1999) no. 3, pp. 299-314.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

A characterization of the transport property is given. New properties for strongly nonatomic probabilities are established. We study the relationship between the nondifferentiability of a real function f and the fact that the probability measure $λ_{f*}:=λ◦(f*)^{-1}$, where f*(x):=(x,f(x)) and λ is the Lebesgue measure, has the transport property.
DOI : 10.4064/am-26-3-299-314
Keywords: Monge-Kantorovich transportation problem, cyclic monotonicity, (c-c)-surface, Lévy-Wasserstein distance, optimal coupling, strongly nonatomic probability

Nacereddine Belili 1 ; Henri Heinich 1

1 
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Nacereddine Belili; Henri Heinich. Mass transport problem and derivation. Applicationes Mathematicae, Tome 26 (1999) no. 3, pp. 299-314. doi : 10.4064/am-26-3-299-314. http://geodesic.mathdoc.fr/articles/10.4064/am-26-3-299-314/

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