{
  "id": "math/0304419",
  "version": "v1",
  "published": "2003-04-26T08:37:24.000Z",
  "updated": "2003-04-26T08:37:24.000Z",
  "title": "The Brownian loop soup",
  "authors": [
    "Gregory F. Lawler",
    "Wendelin Werner"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We define a natural conformally invariant measure on unrooted Brownian loops in the plane and study some of its properties. We relate this measure to a measure on loops rooted at a boundary point of a domain and show how this relation gives a way to ``chronologically add Brownian loops'' to simple curves in the plane.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-04-26T08:37:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "brownian loop soup",
      "natural conformally invariant measure",
      "chronologically add brownian loops",
      "unrooted brownian loops",
      "boundary point"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......4419L"
    }
  }
}