{
  "id": "1201.0377",
  "version": "v2",
  "published": "2012-01-01T19:26:27.000Z",
  "updated": "2012-03-23T12:33:28.000Z",
  "title": "The Gaussian free field and Hadamard's variational formula",
  "authors": [
    "Haakan Hedenmalm",
    "Pekka J. Nieminen"
  ],
  "comment": "9 pages",
  "categories": [
    "math.PR",
    "math.FA"
  ],
  "abstract": "We relate the Gaussian free field on a planar domain to the variational formula of Hadamard which explains the change of the Green function under a perturbation of the domain. This is accomplished by means of a natural integral operator related to Hadamard's formula.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-03-23T12:33:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "gaussian free field",
      "hadamards variational formula",
      "planar domain",
      "hadamards formula",
      "natural integral operator"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}