{
  "id": "1211.6227",
  "version": "v1",
  "published": "2012-11-27T07:59:57.000Z",
  "updated": "2012-11-27T07:59:57.000Z",
  "title": "On the degeneracy of optimal transportation",
  "authors": [
    "Young-Heon Kim",
    "Jun Kitagawa"
  ],
  "comment": "33 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We extend a dimensional upper bound on how much an optimal transport map can degenerate for the quadratic transportation cost, originally due to Caffarelli, to cost functions that satisfy the curvature condition of Ma, Trudinger, and Wang.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-11-27T07:59:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J96"
    ],
    "keywords": [
      "optimal transportation",
      "degeneracy",
      "dimensional upper bound",
      "optimal transport map",
      "quadratic transportation cost"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1211.6227K"
    }
  }
}