{
  "id": "0901.1482",
  "version": "v5",
  "published": "2009-01-11T23:46:17.000Z",
  "updated": "2014-01-14T14:17:29.000Z",
  "title": "The Logarithmic Sobolev Inequality for Gibbs measures on infinite product of Heisenberg groups",
  "authors": [
    "Ioannis Papageorgiou"
  ],
  "comment": "42 pages",
  "categories": [
    "math.FA",
    "math.PR"
  ],
  "abstract": "We are interested in the $q$ Logarithmic Sobolev inequality for probability measures on the infinite product of Heisenberg groups. We assume that the one site boundary free measure satisfies either a $q$ Log-Sobolev inequality or a U-Bound inequality, and we determine conditions so that the infinite dimensional Gibbs measure satisfies a $q$ Log-Sobolev inequality.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2014-01-14T14:17:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60E15",
      "26D10"
    ],
    "keywords": [
      "logarithmic sobolev inequality",
      "infinite product",
      "heisenberg groups",
      "site boundary free measure satisfies",
      "infinite dimensional gibbs measure satisfies"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 42,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0901.1482P"
    }
  }
}