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arXiv · 1307.6293

A general condition for Monge solutions in the multi-marginal optimal transport problem

Young-Heon Kim·Brendan Pass
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Abstract

We develop a general condition on the cost function which is sufficient to imply 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 old ones.

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Young-Heon Kim, Brendan Pass. 2013-07-24. A general condition for Monge solutions in the multi-marginal optimal transport problem. https://arxiv.org/abs/1307.6293

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