{
  "id": "math/0410183",
  "version": "v1",
  "published": "2004-10-06T19:58:56.000Z",
  "updated": "2004-10-06T19:58:56.000Z",
  "title": "Superdiffusivity of occupation-time variance in 2-dimensional asymmetric processes with density 1/2",
  "authors": [
    "Sunder Sethuraman"
  ],
  "comment": "13 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We compute that the growth of the origin occupation-time variance up to time t in dimension d=2 with respect to asymmetric simple exclusion in equilibrium with density 1/2 is in a certain sense at least t(log(log t)) for general rates, and at least t(log t)^{1/2} for rates which are asymmetric only in the direction of one of the axes. These estimates are consistent with conjectures with respect to the transition function and variance of 'second-class' particles.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-10-06T19:58:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35"
    ],
    "keywords": [
      "asymmetric processes",
      "superdiffusivity",
      "origin occupation-time variance",
      "asymmetric simple exclusion",
      "general rates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....10183S"
    }
  }
}