{
  "id": "1910.09035",
  "version": "v1",
  "published": "2019-10-20T17:49:33.000Z",
  "updated": "2019-10-20T17:49:33.000Z",
  "title": "Bounds on optimal transport maps onto log-concave measures",
  "authors": [
    "Maria Colombo",
    "Max Fathi"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider strictly log-concave measures, whose bounds degenerate at infinity. We prove that the optimal transport map from the Gaussian onto such a measure is locally Lipschitz, and that the eigenvalues of its Jacobian have controlled growth at infinity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-20T17:49:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "optimal transport map",
      "bounds degenerate",
      "strictly log-concave measures",
      "eigenvalues",
      "controlled growth"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}