Séminaire Analyse Numérique et EDP
The multimarginal optimal transport with Coulomb cost
13
fév. 2025
fév. 2025
Intervenant : | Rodrigue Lelotte |
Institution : | CERMICS, Ecole des Ponts |
Heure : | 14h00 - 15h00 |
Lieu : | 3L8 |
I will discuss the multimarginal optimal transport problem with Coulomb cost as it arises in quantum chemistry and statistical physics. I will highlight the current state of knowledge and the open questions surrounding the structure and regularity of the minimizer(s) to this problem for which not much is known. I will then present some results of mine on the Kantorovich duality, notably a key property of the so-called Kantorovich potential that I use to construct a physically relevant numerical discretization of the problem.