{
  "id": "1102.4470",
  "version": "v1",
  "published": "2011-02-22T11:32:47.000Z",
  "updated": "2011-02-22T11:32:47.000Z",
  "title": "A note on the abelian sandpile in Z^d",
  "authors": [
    "Mykhaylo Tyomkyn"
  ],
  "categories": [
    "math.CO",
    "math-ph",
    "math.MP",
    "math.PR"
  ],
  "abstract": "We analyse the abelian sandpile model on $\\mathbbm{Z}^d$ for the starting configuration of $n$ particles in the origin and $2d-2$ particles otherwise. We give a new short proof of the theorem of Fey, Levine and Peres \\cite{FLP} that the radius of the toppled cluster of this configuration is $O(n^{1/d})$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-02-22T11:32:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "abelian sandpile model",
      "short proof",
      "starting configuration",
      "toppled cluster"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s10955-012-0564-0",
      "journal": "Journal of Statistical Physics",
      "year": 2012,
      "month": "Sep",
      "volume": 148,
      "number": 6,
      "pages": 1072
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012JSP...148.1072T"
    }
  }
}