{
  "id": "2105.09745",
  "version": "v1",
  "published": "2021-05-20T13:43:19.000Z",
  "updated": "2021-05-20T13:43:19.000Z",
  "title": "On the fluctuations of Internal DLA on the Sierpinski gasket graph",
  "authors": [
    "Nico Heizmann"
  ],
  "comment": "16 pages, 2 figures",
  "categories": [
    "math.PR"
  ],
  "abstract": "Internal diffusion limited aggregation (IDLA) is a random aggregation model on a graph $G$, whose clusters are formed by random walks started in the origin (some fixed vertex) and stopped upon visiting a previously unvisited site. On the Sierpinski gasket graph the asymptotic shape is known to be a ball in the usual graph metric. In this paper we establish bounds for the fluctuations of the cluster from its asymptotic shape.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-05-20T13:43:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82C24",
      "60G50",
      "60J10",
      "31C05",
      "28A80"
    ],
    "keywords": [
      "sierpinski gasket graph",
      "internal dla",
      "fluctuations",
      "asymptotic shape",
      "internal diffusion limited aggregation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}