Mass transport problem and derivation

Nacereddine Belili; Henri Heinich

Applicationes Mathematicae (1999)

  • Volume: 26, Issue: 3, page 299-314
  • ISSN: 1233-7234

Abstract

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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.

How to cite

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Belili, Nacereddine, and Heinich, Henri. "Mass transport problem and derivation." Applicationes Mathematicae 26.3 (1999): 299-314. <http://eudml.org/doc/219241>.

@article{Belili1999,
abstract = {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.},
author = {Belili, Nacereddine, Heinich, Henri},
journal = {Applicationes Mathematicae},
keywords = {Monge-Kantorovich transportation problem; cyclic monotonicity; (c-c)-surface; Lévy-Wasserstein distance; optimal coupling; strongly nonatomic probability},
language = {eng},
number = {3},
pages = {299-314},
title = {Mass transport problem and derivation},
url = {http://eudml.org/doc/219241},
volume = {26},
year = {1999},
}

TY - JOUR
AU - Belili, Nacereddine
AU - Heinich, Henri
TI - Mass transport problem and derivation
JO - Applicationes Mathematicae
PY - 1999
VL - 26
IS - 3
SP - 299
EP - 314
AB - 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.
LA - eng
KW - Monge-Kantorovich transportation problem; cyclic monotonicity; (c-c)-surface; Lévy-Wasserstein distance; optimal coupling; strongly nonatomic probability
UR - http://eudml.org/doc/219241
ER -

References

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