Asymptotic of the Kantorovich potential for the optimal transport with Coulomb cost

Rodrigue Lelotte (1, 2)

1 Université Paris Dauphine-PSL
2 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision

We prove a conjecture regarding the asymptotic behavior at infinity of the Kantorovich potential for the Multimarginal Optimal Transport with Coulomb and Riesz costs.

Domaines: Mathématiques [math]

Rodrigue Lelotte. Asymptotic of the Kantorovich potential for the optimal transport with Coulomb cost. 2022. ⟨hal-03864629⟩