{
  "id": "0809.3702",
  "version": "v1",
  "published": "2008-09-22T13:25:13.000Z",
  "updated": "2008-09-22T13:25:13.000Z",
  "title": "Some limit theorems for rescaled Wick powers",
  "authors": [
    "Alberto Lanconelli"
  ],
  "comment": "13 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We establish the strong L2(P)-convergence of properly rescaled Wick powers as the power index tends to infinity. The explicit representation of such limit will also provide the convergence in distribution to normal and log-normal random variables. The proofs rely on some estimates for the L2(P)-norm of Wick products and on the properties of second quantization operators.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-09-22T13:25:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60H40",
      "60F25",
      "60H15"
    ],
    "keywords": [
      "limit theorems",
      "second quantization operators",
      "power index tends",
      "log-normal random variables",
      "properly rescaled wick powers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0809.3702L"
    }
  }
}