{
  "id": "1202.1158",
  "version": "v1",
  "published": "2012-02-06T14:55:54.000Z",
  "updated": "2012-02-06T14:55:54.000Z",
  "title": "Finite range decomposition for families of gradient Gaussian measures",
  "authors": [
    "Stefan Adams",
    "Roman Kotecký",
    "Stefan Müller"
  ],
  "categories": [
    "math-ph",
    "math.AP",
    "math.MP",
    "math.PR"
  ],
  "abstract": "Let a family of gradient Gaussian vector fields on $ \\mathbb{Z}^d $ be given. We show the existence of a uniform finite range decomposition of the corresponding covariance operators, that is, the covariance operator can be written as a sum of covariance operators whose kernels are supported within cubes of diameters $ \\sim L^k $. In addition we prove natural regularity for the subcovariance operators and we obtain regularity bounds as we vary within the given family of gradient Gaussian measures.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-02-06T14:55:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "gradient gaussian measures",
      "covariance operator",
      "gradient gaussian vector fields",
      "uniform finite range decomposition",
      "natural regularity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1202.1158A"
    }
  }
}