{
  "id": "1502.07440",
  "version": "v1",
  "published": "2015-02-26T05:20:28.000Z",
  "updated": "2015-02-26T05:20:28.000Z",
  "title": "Scaling limit of the corrector in stochastic homogenization",
  "authors": [
    "Jean-Christophe Mourrat",
    "James Nolen"
  ],
  "comment": "11 pages",
  "categories": [
    "math.AP",
    "math.PR"
  ],
  "abstract": "In the homogenization of divergence-form equations with random coefficients, a central role is played by the corrector. We focus on a discrete space setting and on dimension 3 and more. Completing the argument started in previous work, we identify the scaling limit of the corrector, which is akin to a Gaussian free field.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-02-26T05:20:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B27",
      "35J15",
      "35R60",
      "82D30"
    ],
    "keywords": [
      "scaling limit",
      "stochastic homogenization",
      "gaussian free field",
      "central role",
      "divergence-form equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}