{
  "id": "1105.4485",
  "version": "v1",
  "published": "2011-05-23T12:57:48.000Z",
  "updated": "2011-05-23T12:57:48.000Z",
  "title": "A quantitative central limit theorem for the random walk among random conductances",
  "authors": [
    "Jean-Christophe Mourrat"
  ],
  "comment": "16 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We consider the random walk among random conductances on Z^d. We assume that the conductances are independent, identically distributed and uniformly bounded away from 0 and infinity. We obtain a quantitative version of the central limit theorem for this random walk, which takes the form of a Berry-Esseen estimate with speed t^{-1/10} for d < 3, and speed t^{-1/5} otherwise, up to logarithmic corrections.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-05-23T12:57:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K37",
      "60F05",
      "35B27"
    ],
    "keywords": [
      "quantitative central limit theorem",
      "random walk",
      "random conductances",
      "berry-esseen estimate",
      "logarithmic corrections"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1105.4485M"
    }
  }
}