{
  "id": "math/0511249",
  "version": "v2",
  "published": "2005-11-10T19:20:18.000Z",
  "updated": "2007-03-01T15:30:45.000Z",
  "title": "Finite-dimensional approximation for the diffusion coefficient in the simple exclusion process",
  "authors": [
    "Milton Jara"
  ],
  "comment": "Published at http://dx.doi.org/10.1214/009117906000000449 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)",
  "journal": "Annals of Probability 2006, Vol. 34, No. 6, 2365-2381",
  "doi": "10.1214/009117906000000449",
  "categories": [
    "math.PR"
  ],
  "abstract": "We show that for the mean zero simple exclusion process in $\\mathbb {Z}^d$ and for the asymmetric simple exclusion process in $\\mathbb{Z}^d$ for $d\\geq3$, the self-diffusion coefficient of a tagged particle is stable when approximated by simple exclusion processes on large periodic lattices. The proof depends on a similar stability property of the Sobolev inner product associated with the operator.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-03-01T15:30:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35"
    ],
    "keywords": [
      "finite-dimensional approximation",
      "diffusion coefficient",
      "mean zero simple exclusion process",
      "asymmetric simple exclusion process",
      "large periodic lattices"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....11249J"
    }
  }
}