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math.AP2018
Duality theory for multi-marginal optimal transport with repulsive costs in metric spaces
Augusto Gerolin, Anna Kausamo, Tapio Rajala
In this paper we extend the duality theory of the multi-marginal optimal transport problem for cost functions depending on a decreasing function of the distance (not necessarily bo…
math.AP2018
Non-existence of optimal transport maps for the multi-marginal repulsive harmonic cost
Augusto Gerolin, Anna Kausamo, Tapio Rajala
We give an example of an absolutely continuous measure on , for any , such that no minimizer of the -marginal harmonic repulsive cost with all marginal…