{
  "id": "1601.00889",
  "version": "v1",
  "published": "2016-01-05T16:23:10.000Z",
  "updated": "2016-01-05T16:23:10.000Z",
  "title": "Scaling limits for sub-ballistic biased random walks in random conductances",
  "authors": [
    "Alexander Fribergh",
    "Daniel Kious"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We consider biased random walks in positive random conductances on the d-dimensional lattice in the zero-speed regime and study their scaling limits. We obtain a functional Law of Large Numbers for the position of the walker, properly rescaled. Moreover, we state a functional Central Limit Theorem where an atypical process, related to the Fractional Kinetics, appears in the limit.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-01-05T16:23:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K37",
      "82D30"
    ],
    "keywords": [
      "sub-ballistic biased random walks",
      "scaling limits",
      "functional central limit theorem",
      "large numbers",
      "fractional kinetics"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160100889F"
    }
  }
}