{
  "id": "math/0404460",
  "version": "v2",
  "published": "2004-04-26T14:16:08.000Z",
  "updated": "2005-03-16T09:36:43.000Z",
  "title": "Logarithmic Sobolev Inequality for Zero-Range Dynamics: independence of the number of particles",
  "authors": [
    "Paolo Dai Pra",
    "Gustavo Posta"
  ],
  "journal": "Electron. J. Probab. 10 (2005), no. 15, 525-576",
  "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 may depend on L but not on the number of particles. This is a first, but relevant and quite technical step, in the proof that this logarithmic-Sobolev constant grows as L^2, that will be presented in a forthcoming paper.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-03-16T09:36:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "82C22"
    ],
    "keywords": [
      "logarithmic sobolev inequality",
      "zero-range dynamics",
      "independence",
      "logarithmic-sobolev constant grows",
      "zero-range processes"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......4460P"
    }
  }
}