{
  "id": "1307.6818",
  "version": "v2",
  "published": "2013-07-25T17:28:44.000Z",
  "updated": "2014-08-19T10:44:46.000Z",
  "title": "Percolation on random triangulations and stable looptrees",
  "authors": [
    "Nicolas Curien",
    "Igor Kortchemski"
  ],
  "comment": "To appear in Probab. Theory Related Fields",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We study site percolation on Angel & Schramm's uniform infinite planar triangulation. We compute several critical and near-critical exponents, and describe the scaling limit of the boundary of large percolation clusters in all regimes (subcritical, critical and supercritical). We prove in particular that the scaling limit of the boundary of large critical percolation clusters is the random stable looptree of index 3/2, which was introduced in a companion paper. We also give a conjecture linking looptrees of any index in (1,2) with scaling limits of cluster boundaries in random triangulations decorated with O(N) models.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-08-19T10:44:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "random triangulations",
      "stable looptree",
      "schramms uniform infinite planar triangulation",
      "scaling limit",
      "study site percolation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.6818C"
    }
  }
}