{
  "id": "math/0311193",
  "version": "v1",
  "published": "2003-11-12T13:06:17.000Z",
  "updated": "2003-11-12T13:06:17.000Z",
  "title": "Statistical properties of a skew product with a curve of neutral points",
  "authors": [
    "Sebastien Gouezel"
  ],
  "comment": "32 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "We study a skew product with a curve of neutral points. We show that there exists a unique absolutely continuous invariant probability measure, and that the Birkhoff averages of a sufficiently smooth observable converge to a normal law or a stable law, depending on the average of the observable along the neutral curve.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-11-12T13:06:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A50",
      "37C40",
      "60F05"
    ],
    "keywords": [
      "skew product",
      "neutral points",
      "statistical properties",
      "absolutely continuous invariant probability measure",
      "unique absolutely continuous invariant probability"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....11193G"
    }
  }
}