{
  "id": "1510.03687",
  "version": "v1",
  "published": "2015-10-13T14:11:57.000Z",
  "updated": "2015-10-13T14:11:57.000Z",
  "title": "Lipschitz Changes of Variables between Perturbations of Log-concave Measures",
  "authors": [
    "Maria Colombo",
    "Alessio Figalli",
    "Yash Jhaveri"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "Extending a result of Caffarelli, we provide global Lipschitz changes of variables between compactly supported perturbations of log-concave measures. The result is based on a combination of ideas from optimal transportation theory and a new Pogorelov-type estimate. In the case of radially symmetric measures, Lipschitz changes of variables are obtained for a much broader class of perturbations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-13T14:11:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "log-concave measures",
      "global lipschitz changes",
      "optimal transportation theory",
      "pogorelov-type estimate",
      "radially symmetric measures"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}