{
  "id": "1307.6293",
  "version": "v1",
  "published": "2013-07-24T04:16:36.000Z",
  "updated": "2013-07-24T04:16:36.000Z",
  "title": "A general condition for Monge solutions in the multi-marginal optimal transport problem",
  "authors": [
    "Young-Heon Kim",
    "Brendan Pass"
  ],
  "categories": [
    "math.AP"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-07-24T04:16:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "multi-marginal optimal transport problem",
      "general condition",
      "imply monge solution",
      "cost function",
      "uniqueness results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.6293K"
    }
  }
}