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math.AP2014
Prohibiting isolated singularities in optimal transport
Young-Heon Kim, Jun Kitagawa
We give natural topological conditions on the support of the target measure under which solutions to the optimal transport problem with cost function satisfying the (weak) Ma, Trud…
math.AP2014
The multi-marginal optimal partial transport problem
Jun Kitagawa, Brendan Pass
We introduce and study a multi-marginal optimal partial transport problem. Under a natural and sharp condition on the dominating marginals, we establish uniqueness of the optimal p…