{
  "id": "math/0109189",
  "version": "v2",
  "published": "2001-09-24T16:21:17.000Z",
  "updated": "2001-12-14T16:41:09.000Z",
  "title": "Regularity of quasi-stationary measures for simple exclusion in dimension d >= 5",
  "authors": [
    "Amine Asselah",
    "Pablo A. Ferrari"
  ],
  "comment": "18 pages. Corrections after referee report. To be published in Ann Probab",
  "journal": "Ann. Probab. 30 (2002), no. 4, 1913--1932",
  "doi": "10.1214/aop/1039548376",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider the symmetric simple exclusion process on Z^d, for d>= 5, and study the regularity of the quasi-stationary measures of the dynamics conditionned on not occupying the origin. For each \\rho\\in ]0,1[, we establish uniqueness of the density of quasi-stationary measures in L^2(d\\nur), where \\nur is the stationary measure of density \\rho. This, in turn, permits us to obtain sharp estimates for P_{\\nur}(\\tau>t), where \\tau is the first time the origin is occupied.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2001-12-14T16:41:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "82C22",
      "60J25"
    ],
    "keywords": [
      "quasi-stationary measures",
      "regularity",
      "symmetric simple exclusion process",
      "sharp estimates",
      "first time"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......9189A"
    }
  }
}