{
  "id": "1412.6313",
  "version": "v1",
  "published": "2014-12-19T12:24:02.000Z",
  "updated": "2014-12-19T12:24:02.000Z",
  "title": "Diffusive Decay of the Environment Viewed by the Particle",
  "authors": [
    "Paul de Buyer",
    "Jean-Christophe Mourrat"
  ],
  "comment": "13 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We prove an optimal diffusive decay of the environment viewed by the particle in random walk among random independent conductances, with, as a main assumption, finite second moment of the conductance. Our proof, using the analytic approach of Gloria, Neukamm and Otto, is very short and elementary.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-19T12:24:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K37",
      "60J27",
      "76M50"
    ],
    "keywords": [
      "environment",
      "random independent conductances",
      "finite second moment",
      "random walk",
      "main assumption"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1412.6313D"
    }
  }
}