Simone Di Marino, Université Paris-Sud, email@example.com
Augusto Gerolin, Dipartimento di Matematica, Università di Pisa, firstname.lastname@example.org
Luca Nenna, Inria-Paris, MOKAPLAN, rue Simone Iff, 75012, Paris, France and CEREMADE, UMR CNRS 7534, Université Paris IX Dauphine, email@example.com
Abstract: This chapter intends 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. ...