{
  "id": "1810.10843",
  "version": "v1",
  "published": "2018-10-25T12:21:47.000Z",
  "updated": "2018-10-25T12:21:47.000Z",
  "title": "A support theorem for SLE curves",
  "authors": [
    "Huy Tran",
    "Yizheng Yuan"
  ],
  "categories": [
    "math.PR",
    "math.CV"
  ],
  "abstract": "For all $\\kappa > 0$, we show that the support of SLE$_\\kappa$ curves is the closure in the sup-norm of the set of Loewner curves driven by nice (e.g. smooth) functions. It follows that the support is the closure of the set of simple curves starting at $0$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-10-25T12:21:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30C20",
      "60G17",
      "60J67",
      "60K35"
    ],
    "keywords": [
      "sle curves",
      "support theorem",
      "loewner curves driven",
      "simple curves starting"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}