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A General Condition for Monge Solutions in the Multi-Marginal Optimal Transport Problem
Young-Heon Kim, Brendan Pass
Source abstract
We develop a general condition on the cost function which is sufficient to imply a Monge solution and uniqueness results in the multi-marginal optimal transport problem. This result unifies and generalizes several results in the rather fragmented literature on multi-marginal problems. We also provide a systematic way to generate new examples from existing ones.
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