{
  "id": "1207.3721",
  "version": "v1",
  "published": "2012-07-16T16:45:10.000Z",
  "updated": "2012-07-16T16:45:10.000Z",
  "title": "The Green's function for the radial Schramm-Loewner evolution",
  "authors": [
    "Tom Alberts",
    "Michael J. Kozdron",
    "Gregory F. Lawler"
  ],
  "comment": "v1: 16 pages, 0 figures",
  "journal": "J. Phys. A: Math. Theor., volume 45, number 49, paper 494015, 2012",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We prove the existence of the Green's function for radial SLE(k) for k<8. Unlike the chordal case where an explicit formula for the Green's function is known for all values of k<8, we give an explicit formula only for k=4. For other values of k, we give a formula in terms of an expectation with respect to SLE conditioned to go through a point.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-07-16T16:45:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J67",
      "82B31"
    ],
    "keywords": [
      "greens function",
      "radial schramm-loewner evolution",
      "explicit formula",
      "chordal case",
      "radial sle"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/1751-8113/45/49/494015",
      "journal": "Journal of Physics A Mathematical General",
      "year": 2012,
      "month": "Dec",
      "volume": 45,
      "number": 49,
      "pages": 494015
    },
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012JPhA...45W4015A"
    }
  }
}