{
  "id": "math/0701414",
  "version": "v2",
  "published": "2007-01-15T13:25:59.000Z",
  "updated": "2008-07-28T14:09:36.000Z",
  "title": "A Lower Bound on the Disconnection Time of a Discrete Cylinder",
  "authors": [
    "Amir Dembo",
    "Alain-Sol Sznitman"
  ],
  "comment": "17 pages, this article appears in the volume In and Out of Equilibrium 2, V. Sidoravicius and M. E. Vares Editors",
  "journal": "In and Out of Equilibrium 2, Progress in Probability, vol. 60, 211-227, Birkhauser, (2008)",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We study the asymptotic behavior for large N of the disconnection time T_N of simple random walk on a discrete cylinder with base a d-dimensional discrete torus of side-length N. When d is sufficiently large, we are able to substantially improve the lower bounds obtained by the authors in a previous article when d is bigger or equal to 2. We show here that the laws of N^(2d)/T_N are tight.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-07-28T14:09:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J10",
      "60K35",
      "82C41"
    ],
    "keywords": [
      "discrete cylinder",
      "disconnection time",
      "lower bound",
      "simple random walk",
      "d-dimensional discrete torus"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......1414D"
    }
  }
}