×

Determination of an optimal couple in the Monge-Kantorovitch problem. (Détermination d’un couple optimal du problème de Monge-Kantorovitch.) (French) Zbl 0809.60003

Summary: We study the Monge-Kantorovitch transportation problem under a condition of regularity in \(P\). We suppose the law \(Q\) discrete to determine explicitly the function \(p\)-associated to \((P,Q)\). Then we use theorems of passage to any law \(Q\) to deduce an approximation of the function \(p\)- associated in this case to \((P,Q)\).

MSC:

60B05 Probability measures on topological spaces
PDFBibTeX XMLCite