Séminaire Analyse Numérique et EDP
The multimarginal optimal transport with Coulomb cost
13
fév. 2025
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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.

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