{
  "id": "1606.07034",
  "version": "v1",
  "published": "2016-06-22T18:23:04.000Z",
  "updated": "2016-06-22T18:23:04.000Z",
  "title": "The log-Sobolev inequality with quadratic interactions",
  "authors": [
    "Ioannis Papageorgiou"
  ],
  "comment": "42 pages",
  "categories": [
    "math.FA",
    "math-ph",
    "math.MP",
    "math.PR"
  ],
  "abstract": "We assume one site measures without a boundary $e^{-\\phi(x)}dx/Z$ that satisfy a log-Sobolev inequality. We prove that if these measures are perturbed with quadratic interactions, then the associated infinite dimensional Gibbs measure on the lattice always satisfies a log-Sobolev inequality. Furthermore, we present examples of measures that satisfy the inequality with a phase that goes beyond convexity at infinity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-06-22T18:23:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26D10",
      "82C22",
      "82B20",
      "35R03"
    ],
    "keywords": [
      "log-sobolev inequality",
      "quadratic interactions",
      "associated infinite dimensional gibbs measure",
      "site measures"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 42,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}