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

Lelotte, Rodrigue (2022), Asymptotic of the Kantorovich potential for the optimal transport with Coulomb cost. https://basepub.dauphine.psl.eu/handle/123456789/23727

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Type
Document de travail / Working paper
Date
2022
Series title
Cahier de recherche CEREMADE, Université Paris Dauphine-PSL
Published in
Paris
Pages
13
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Author(s)
Lelotte, Rodrigue
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Abstract (EN)
We prove a conjecture regarding the asymptotic behavior at infinity of the Kantorovich potential for the Multimarginal Optimal Transport with Coulomb and Riesz costs.