{
  "id": "math/0605035",
  "version": "v1",
  "published": "2006-05-01T10:17:32.000Z",
  "updated": "2006-05-01T10:17:32.000Z",
  "title": "Two-Dimensional Critical Percolation: The Full Scaling Limit",
  "authors": [
    "Federico Camia",
    "Charles M. Newman"
  ],
  "comment": "45 pages, 12 figures. This is a revised version of math.PR/0504036 without the appendices",
  "doi": "10.1007/s00220-006-0086-1",
  "categories": [
    "math.PR",
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We use SLE(6) paths to construct a process of continuum nonsimple loops in the plane and prove that this process coincides with the full continuum scaling limit of 2D critical site percolation on the triangular lattice -- that is, the scaling limit of the set of all interfaces between different clusters. Some properties of the loop process, including conformal invariance, are also proved.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-05-01T10:17:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82B27",
      "60K35",
      "82B43",
      "60D05",
      "30C35"
    ],
    "keywords": [
      "full scaling limit",
      "two-dimensional critical percolation",
      "2d critical site percolation",
      "full continuum scaling limit",
      "continuum nonsimple loops"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer",
      "journal": "Communications in Mathematical Physics",
      "year": 2006,
      "month": "Nov",
      "volume": 268,
      "number": 1,
      "pages": 1
    },
    "note": {
      "typesetting": "TeX",
      "pages": 45,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006CMaPh.268....1C"
    }
  }
}