{
  "id": "0810.1002",
  "version": "v1",
  "published": "2008-10-06T17:00:48.000Z",
  "updated": "2008-10-06T17:00:48.000Z",
  "title": "Scaling Limits of Two-Dimensional Percolation: an Overview",
  "authors": [
    "Federico Camia"
  ],
  "comment": "16 pages, 1 figure; written for a special issue of Satistica Neerlandica dedicated to EURANDOM's tenth anniversary",
  "categories": [
    "math.PR",
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We present a review of the recent progress on percolation scaling limits in two dimensions. In particular, we will consider the convergence of critical crossing probabilities to Cardy's formula and of the critical exploration path to chordal SLE(6), the full scaling limit of critical cluster boundaries, and near-critical scaling limits.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-10-06T17:00:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82B27",
      "60K35",
      "82B43",
      "60D05",
      "30C35"
    ],
    "keywords": [
      "two-dimensional percolation",
      "percolation scaling limits",
      "chordal sle",
      "full scaling limit",
      "cardys formula"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0810.1002C"
    }
  }
}