{
  "id": "1602.03499",
  "version": "v1",
  "published": "2016-02-10T20:06:47.000Z",
  "updated": "2016-02-10T20:06:47.000Z",
  "title": "Capacity of the range of random walk on $\\mathbb{Z}^d$",
  "authors": [
    "Amine Asselah",
    "Bruno Schapira",
    "Perla Sousi"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We study the capacity of the range of a transient simple random walk on $\\mathbb{Z}^d$. Our main result is a central limit theorem for the capacity of the range for $d\\ge 6$. We present a few open questions in lower dimensions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-02-10T20:06:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F05",
      "60G50"
    ],
    "keywords": [
      "transient simple random walk",
      "central limit theorem",
      "lower dimensions",
      "open questions",
      "main result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160203499A"
    }
  }
}