{
  "id": "math/0108211",
  "version": "v1",
  "published": "2001-08-30T15:52:25.000Z",
  "updated": "2001-08-30T15:52:25.000Z",
  "title": "One-arm exponent for critical 2D percolation",
  "authors": [
    "Gregory F. Lawler",
    "Oded Schramm",
    "Wendelin Werner"
  ],
  "journal": "Electron. J. Probab. vol. 7, paper no. 2, 1--13, 2002; http://www.math.washington.edu/~ejpecp/EjpVol7/paper2.abs.html",
  "categories": [
    "math.PR",
    "math-ph",
    "math.CV",
    "math.MP"
  ],
  "abstract": "The probability that the cluster of the origin in critical site percolation on the triangular grid has diameter larger than $R$ is proved to decay like $R^{-5/48}$ as $R\\to\\infty$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-08-30T15:52:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "82B43"
    ],
    "keywords": [
      "critical 2d percolation",
      "one-arm exponent",
      "critical site percolation",
      "triangular grid",
      "diameter larger"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......8211L"
    }
  }
}