{
  "id": "2205.05023",
  "version": "v1",
  "published": "2022-05-10T16:37:53.000Z",
  "updated": "2022-05-10T16:37:53.000Z",
  "title": "Generic uniqueness of optimal transportation networks",
  "authors": [
    "Gianmarco Caldini",
    "Andrea Marchese",
    "Simone Steinbrüchel"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove that for the generic boundary, in the sense of Baire categories, there exists a unique minimizer of the associated optimal branched transportation problem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-05-10T16:37:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "optimal transportation networks",
      "generic uniqueness",
      "associated optimal branched transportation problem",
      "generic boundary",
      "unique minimizer"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}