{
  "id": "math/0610716",
  "version": "v2",
  "published": "2006-10-24T18:02:03.000Z",
  "updated": "2007-02-16T18:23:29.000Z",
  "title": "Percolation on random Johnson-Mehl tessellations and related models",
  "authors": [
    "Bela Bollobas",
    "Oliver Riordan"
  ],
  "comment": "25 pages, 3 figures; minor revisions. To appear in Probability Theory and Related Fields",
  "journal": "Probability Theory and Related Fields 140 (2008), 319-343",
  "doi": "10.1007/s00440-007-0066-1",
  "categories": [
    "math.PR"
  ],
  "abstract": "We make use of the recent proof that the critical probability for percolation on random Voronoi tessellations is 1/2 to prove the corresponding result for random Johnson-Mehl tessellations, as well as for two-dimensional slices of higher dimensional Voronoi tessellations. Surprisingly, the proof is a little simpler for these more complicated models.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-02-16T18:23:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "82B43"
    ],
    "keywords": [
      "random johnson-mehl tessellations",
      "related models",
      "percolation",
      "higher dimensional voronoi tessellations",
      "random voronoi tessellations"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....10716B"
    }
  }
}