{
  "id": "1208.0156",
  "version": "v1",
  "published": "2012-08-01T10:01:42.000Z",
  "updated": "2012-08-01T10:01:42.000Z",
  "title": "On the occupation times of Brownian excursions and Brownian loops",
  "authors": [
    "Hao Wu"
  ],
  "journal": "S\\'eminaire de Probabilit\\'es XLIV, Lecture Notes in Math. 2012, Springer",
  "categories": [
    "math.PR"
  ],
  "abstract": "We study properties of occupation times by Brownian excursions and Brownian loops in two-dimensional domains. This allows for instance to interpret some Gaussian fields, such as the Gaussian Free Fields as (properly normalized) fluctuations of the total occupation time of a Poisson cloud of Brownian excursions when the intensity of the cloud goes to infinity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-08-01T10:01:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "brownian excursions",
      "brownian loops",
      "total occupation time",
      "gaussian free fields",
      "two-dimensional domains"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1208.0156W"
    }
  }
}