Asymptotics of the Kantorovich Potential for the Optimal Transport with Coulomb Cost

Rodrigue Lelotte

doi:10.1007/s00205-025-02140-w

Asymptotics of the Kantorovich Potential for the Optimal Transport with Coulomb Cost

Rodrigue Lelotte

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

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

langue originale	Anglais
Numéro d'article	68
journal	Archive for Rational Mechanics and Analysis
Volume	249
Numéro de publication	6
Les DOIs	https://doi.org/10.1007/s00205-025-02140-w
état	Publié - 1 déc. 2025
Modification externe	Oui

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10.1007/s00205-025-02140-w

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title = "Asymptotics of the Kantorovich Potential for the Optimal Transport with Coulomb Cost",

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

author = "Rodrigue Lelotte",

note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2025.",

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N1 - Publisher Copyright: © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2025.

PY - 2025/12/1

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N2 - We prove a conjecture regarding the asymptotic behavior at infinity of the Kantorovich potential for the Multimarginal Optimal Transport with Coulomb and Riesz costs.

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

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JO - Archive for Rational Mechanics and Analysis

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Asymptotics of the Kantorovich Potential for the Optimal Transport with Coulomb Cost

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