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math-ph2022
Asymptotics of the Kantorovich Potential for the Optimal Transport with Coulomb Cost
Rodrigue Lelotte
We prove a conjecture regarding the asymptotic behavior at infinity of the Kantorovich potential for the Multimarginal Optimal Transport with Coulomb and Riesz costs.
math-ph2022
An external dual charge approach to the optimal transport with Coulomb cost
Rodrigue Lelotte
In this paper, we study the multimarginal optimal transport with Coulomb cost, also known in the physics literature as the Strictly-Correlated Electrons (SCE) functional. We prove…