Mass transport problem and derivation

• Autorzy: Nacereddine Belili , Henri Heinich
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Monge-Kantorovich transportation problem; cyclic monotonicity; (c-c)-surface; Lévy-Wasserstein distance; optimal coupling; strongly nonatomic probability

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 1999
• Tom: 26
• Numer: 3
• Strony: 299-314

Daty

wydano

1999

otrzymano

1998-12-07

poprawiono

1999-04-13

Twórcy

autor

Nacereddine Belili

• UPRES-A. CNRS 6085, Analyse et Modèles Stochastiques, Université de Rouen, 76821 Mont Saint Aignan Cedex, France

autor

Henri Heinich

• UPRES-A. CNRS 6085, INSA de Rouen, Département de Génie Mathématiques, Place E. Blondel, 76131 Mont Saint Aignan Cedex, France

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