{
  "id": "1406.5651",
  "version": "v1",
  "published": "2014-06-21T21:07:27.000Z",
  "updated": "2014-06-21T21:07:27.000Z",
  "title": "Lifschitz singularity for subordinate Brownian motions in presence of the Poissonian potential on the Sierpiński gasket",
  "authors": [
    "Kamil Kaleta",
    "Katarzyna Pietruska-Pałuba"
  ],
  "comment": "39 pages",
  "categories": [
    "math.PR",
    "math.SP"
  ],
  "abstract": "We establish the Lifschitz-type singularity around the bottom of the spectrum for the integrated density of states for a class of subordinate Brownian motions in presence of the nonnegative Poissonian random potentials, possibly of infinite range, on the Sierpi\\'nski gasket. We also study the long-time behaviour for the corresponding averaged Feynman-Kac functionals.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-06-21T21:07:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J75",
      "60H25",
      "60J35",
      "47D08",
      "28A80"
    ],
    "keywords": [
      "subordinate brownian motions",
      "sierpiński gasket",
      "lifschitz singularity",
      "poissonian potential",
      "nonnegative poissonian random potentials"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 39,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1406.5651K"
    }
  }
}