Optimal transportation theory with repulsive costs
Di Marino, Simone; Gerolin, Augusto; Nenna, Luca (2017), Optimal transportation theory with repulsive costs, in Filippo Santambrogio, Thierry Champion, Guillaume Carlier, Martin Rumpf, Édouard Oudet, Maïtine Bergounioux, Topological Optimization and Optimal Transport, De Gruyter, p. 204-256
Type
Chapitre d'ouvrageExternal document link
https://hal.inria.fr/hal-01163737Date
2017Book title
Topological Optimization and Optimal TransportBook author
Filippo Santambrogio, Thierry Champion, Guillaume Carlier, Martin Rumpf, Édouard Oudet, Maïtine BergouniouxPublisher
De Gruyter
ISBN
9783110430509
Pages
204-256
Metadata
Show full item recordAbstract (EN)
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.Subjects / Keywords
tranqportation theory; Density Functional TheoryRelated items
Showing items related by title and author.
-
Di Marino, Simone; Lewin, Mathieu; Nenna, Luca (2022) Document de travail / Working paper
-
Seidl, Michael; Marino, Simone; Gerolin, Augusto; Nenna, Luca; Giesbertz, Klaas; Gori-Giorgi, Paola (2017) Document de travail / Working paper
-
Benamou, Jean-David; Carlier, Guillaume; Nenna, Luca (2017) Chapitre d'ouvrage
-
Benamou, Jean-David; Carlier, Guillaume; Marino, Simone; Nenna, Luca (2019) Article accepté pour publication ou publié
-
Nenna, Luca (2016-12) Thèse