{
  "id": "1309.3444",
  "version": "v2",
  "published": "2013-09-13T13:07:46.000Z",
  "updated": "2014-01-27T12:24:53.000Z",
  "title": "Fluctuations for internal DLA on the Comb",
  "authors": [
    "Amine Asselah",
    "Houda Rahmani"
  ],
  "comment": "31 pages, 2 figures, many errors fixed after referee report",
  "categories": [
    "math.PR"
  ],
  "abstract": "We study internal diffusion limited aggregation (DLA) on the two dimensional comb lattice. The comb lattice is a spanning tree of the euclidean lattice, and internal DLA is a random growth model, where simple random walks, starting one at a time at the origin of the comb, stop when reaching the first unoccupied site. An asymptotic shape is suggested by a lower bound of Huss and Sava. We show that fluctuations with respect to this shape are gaussian as in the one-dimensional lattice.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-01-27T12:24:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "82B24",
      "60J45"
    ],
    "keywords": [
      "internal dla",
      "fluctuations",
      "study internal diffusion limited aggregation",
      "dimensional comb lattice",
      "random growth model"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1309.3444A"
    }
  }
}