{
  "id": "0905.4436",
  "version": "v1",
  "published": "2009-05-27T14:30:59.000Z",
  "updated": "2009-05-27T14:30:59.000Z",
  "title": "From the Lifshitz tail to the quenched survival asymptotics in the trapping problem",
  "authors": [
    "Ryoki Fukushima"
  ],
  "comment": "13 pages",
  "journal": "Electronic Communications in Probability 2009, vol. 14, paper 42, 435-446",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "The survival problem for a diffusing particle moving among random traps is considered. We introduce a simple argument to derive the quenched asymptotics of the survival probability from the Lifshitz tail effect for the associated operator. In particular, the upper bound is proved in fairly general settings and is shown to be sharp in the case of the Brownian motion in the Poissonian obstacles. As an application, we derive the quenched asymptotics for the Brownian motion in traps distributed according to a random perturbation of the lattice.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-05-27T14:30:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K37",
      "60G17",
      "82D30",
      "82B44"
    ],
    "keywords": [
      "quenched survival asymptotics",
      "trapping problem",
      "brownian motion",
      "lifshitz tail effect",
      "quenched asymptotics"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0905.4436F"
    }
  }
}