{
  "id": "1204.5837",
  "version": "v5",
  "published": "2012-04-26T06:21:32.000Z",
  "updated": "2013-12-27T17:52:09.000Z",
  "title": "A Harris-Kesten theorem for confetti percolation",
  "authors": [
    "Christian Hirsch"
  ],
  "comment": "29 pages, 11 figures",
  "doi": "10.1002/rsa.20563",
  "categories": [
    "math.PR"
  ],
  "abstract": "Percolation properties of the dead leaves model, also known as confetti percolation, are considered. More precisely, we prove that the critical probability for confetti percolation with square-shaped leaves is 1/2. This result is related to a question of Benjamini and Schramm concerning disk-shaped leaves and can be seen as a variant of the Harris-Kesten theorem for bond percolation. The proof is based on techniques developed by Bollob\\'as and Riordan to determine the critical probability for Voronoi and Johnson-Mehl percolation.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2013-12-27T17:52:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "82B43"
    ],
    "keywords": [
      "confetti percolation",
      "harris-kesten theorem",
      "dead leaves model",
      "critical probability",
      "johnson-mehl percolation"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1204.5837H"
    }
  }
}