{
  "id": "1411.7854",
  "version": "v1",
  "published": "2014-11-28T13:17:11.000Z",
  "updated": "2014-11-28T13:17:11.000Z",
  "title": "A note on statistical properties for nonuniformly hyperbolic systems with slow contraction and expansion",
  "authors": [
    "Ian Melbourne",
    "Paulo Varandas"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We provide a systematic approach for deducing statistical limit laws via martingale-coboundary decomposition, for nonuniformly hyperbolic systems with slowly contracting and expanding directions. In particular, if the associated return time function is square-integrable, then we obtain the central limit theorem, the weak invariance principle, and an iterated version of the weak invariance principle.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-11-28T13:17:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D25",
      "37D50",
      "37A50",
      "60F17"
    ],
    "keywords": [
      "nonuniformly hyperbolic systems",
      "slow contraction",
      "statistical properties",
      "weak invariance principle",
      "central limit theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1411.7854M"
    }
  }
}