{
  "id": "0906.3570",
  "version": "v4",
  "published": "2009-06-19T04:37:06.000Z",
  "updated": "2012-11-15T11:03:47.000Z",
  "title": "On monochromatic arm exponents for 2D critical percolation",
  "authors": [
    "Vincent Beffara",
    "Pierre Nolin"
  ],
  "comment": "Published in at http://dx.doi.org/10.1214/10-AOP581 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)",
  "journal": "Annals of Probability 2011, Vol. 39, No. 4, 1286-1304",
  "doi": "10.1214/10-AOP581",
  "categories": [
    "math.PR"
  ],
  "abstract": "We investigate the so-called monochromatic arm exponents for critical percolation in two dimensions. These exponents, describing the probability of observing j disjoint macroscopic paths, are shown to exist and to form a different family from the (now well understood) polychromatic exponents. More specifically, our main result is that the monochromatic j-arm exponent is strictly between the polychromatic j-arm and (j+1)-arm exponents.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2012-11-15T11:03:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "monochromatic arm exponents",
      "2d critical percolation",
      "disjoint macroscopic paths",
      "monochromatic j-arm exponent",
      "polychromatic j-arm"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0906.3570B"
    }
  }
}