{
  "id": "math/0401248",
  "version": "v3",
  "published": "2004-01-20T09:13:23.000Z",
  "updated": "2006-02-06T12:17:23.000Z",
  "title": "Logarithmic Sobolev inequality for zero-range Dynamics",
  "authors": [
    "Paolo Dai Pra",
    "Gustavo Posta"
  ],
  "comment": "Published at http://dx.doi.org/10.1214/009117905000000332 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)",
  "journal": "Annals of Probability 2005, Vol. 33, No. 6, 2355-2401",
  "doi": "10.1214/009117905000000332",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We prove that the logarithmic Sobolev constant for zero-range processes in a box of diameter $L$ grows as $L^2$.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2006-02-06T12:17:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "82C22"
    ],
    "keywords": [
      "logarithmic sobolev inequality",
      "zero-range dynamics",
      "logarithmic sobolev constant",
      "zero-range processes"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......1248P"
    }
  }
}