Date
2017
Lien vers un document non conservé dans cette base
https://hal.inria.fr/hal-01163737
Indexation documentaire
Analyse
Subject
tranqportation theory; Density Functional Theory
Titre de l'ouvrage
Topological Optimization and Optimal Transport
Auteur
Filippo Santambrogio, Thierry Champion, Guillaume Carlier, Martin Rumpf, Édouard Oudet, Maïtine Bergounioux
Nom de l'éditeur
De Gruyter
Année
2017
ISBN
9783110430509
Auteur
Di Marino, Simone
Gerolin, Augusto
Nenna, Luca
Type
Chapitre d'ouvrage
Nombre de pages du document
204-256
Résumé en anglais
This survey intents to present the state of art and recent developments of the optimal transportation theory with many marginals for a class of repulsive cost functions.We introduce some aspects of the Density Functional Theory (DFT) from a mathematical viewpoint, and revisit the theory of optimal transport from its perspective. Moreover, in the last three sections, we describe some recent and new theoretical and numerical results obtained for the Coulomb cost, the repulsive harmonic cost and the determinant.
