Optimal transportation for the determinant

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dc.creatorCarlier, Guillaume
dc.creatorNazaret, Bruno
dc.date2006-12-06
dc.date.accessioned2026-07-07T12:40:45Z
dc.date.available2026-07-07T12:40:45Z
dc.descriptionAmong $\R^3$-valued triples of random vectors $(X,Y,Z)$ having fixed marginal probability laws, what is the best way to jointly draw $(X,Y,Z)$ in such a way that the simplex generated by $(X,Y,Z)$ has maximal average volume? Motivated by this simple question, we study optimal transportation problems with several marginals when the objective function is the determinant or its absolute value.
dc.identifierhttps://arxiv.org/abs/math/0612142
dc.identifierhttp://arxiv.org/abs/math/0612142
dc.identifierESAIM - Control Optimisation and Calculus of Variations 14, 4 (2008) p678-698
dc.identifierdoi:10.1051/cocv:2008006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219541
dc.subjectOptimization and Control
dc.titleOptimal transportation for the determinant
dc.typetext

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