{
  "id": "2210.07825",
  "version": "v1",
  "published": "2022-10-14T13:56:17.000Z",
  "updated": "2022-10-14T13:56:17.000Z",
  "title": "Quenched invariance principle for biased random walks in random conductances in the sub-ballistic regime",
  "authors": [
    "Alexander Fribergh",
    "Tanguy Lions",
    "Carlo Scali"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We consider a biased random walk in positive random conductances on $\\mathbb{Z}^d$ for $d\\geq 5$. In the sub-ballistic regime, we prove the quenched convergence of the properly rescaled random walk towards a Fractional Kinetics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-10-14T13:56:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K37",
      "60F17",
      "60K50",
      "60G22"
    ],
    "keywords": [
      "biased random walk",
      "quenched invariance principle",
      "sub-ballistic regime",
      "positive random conductances",
      "properly rescaled random walk"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}