{
  "id": "1602.04467",
  "version": "v1",
  "published": "2016-02-14T15:38:14.000Z",
  "updated": "2016-02-14T15:38:14.000Z",
  "title": "Quantitative homogenization of degenerate random environments",
  "authors": [
    "Arianna Giunti",
    "Jean-Christophe Mourrat"
  ],
  "comment": "25 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We study discrete linear divergence-form operators with random coefficients, also known as the random conductance model. We assume that the conductances are bounded, independent and stationary; the law of a conductance may depend on the orientation of the associated edge. We give a simple necessary and sufficient condition for the relaxation of the environment seen by the particle to be diffusive, in the sense of every polynomial moment. As a consequence, we derive polynomial moment estimates on the corrector.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-02-14T15:38:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K37",
      "35B40",
      "35K65"
    ],
    "keywords": [
      "degenerate random environments",
      "quantitative homogenization",
      "study discrete linear divergence-form operators",
      "random conductance model",
      "derive polynomial moment estimates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160204467G"
    }
  }
}