{
  "id": "1805.00880",
  "version": "v1",
  "published": "2018-05-02T15:54:30.000Z",
  "updated": "2018-05-02T15:54:30.000Z",
  "title": "Duality theory for multi-marginal optimal transport with repulsive costs in metric spaces",
  "authors": [
    "Augusto Gerolin",
    "Anna Kausamo",
    "Tapio Rajala"
  ],
  "comment": "18 pages",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP",
    "math.OC"
  ],
  "abstract": "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 bounded). This class of cost functions appears in the context of SCE Density Functional Theory introduced in \"Strong-interaction limit of density-functional theory\" by M. Seidl.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-05-02T15:54:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "duality theory",
      "metric spaces",
      "repulsive costs",
      "multi-marginal optimal transport problem",
      "sce density functional theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}