{
  "id": "1108.5948",
  "version": "v3",
  "published": "2011-08-30T12:53:44.000Z",
  "updated": "2013-04-23T18:14:59.000Z",
  "title": "Statistical Properties and Decay of Correlations for Interval Maps with Critical Points and Singularities",
  "authors": [
    "Stefano Luzzatto",
    "Ian Melbourne"
  ],
  "comment": "18 pages, minor revisions, to appear in Communications in Mathematical Physics",
  "categories": [
    "math.DS"
  ],
  "abstract": "We consider a class of piecewise smooth one-dimensional maps with critical points and singularities (possibly with infinite derivative). Under mild summability conditions on the growth of the derivative on critical orbits, we prove the central limit theorem and a vector-valued almost sure invariance principle. We also obtain results on decay of correlations.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-04-23T18:14:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "critical points",
      "interval maps",
      "statistical properties",
      "correlations",
      "singularities"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s00220-013-1709-y",
      "journal": "Communications in Mathematical Physics",
      "year": 2013,
      "month": "May",
      "volume": 320,
      "number": 1,
      "pages": 21
    },
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013CMaPh.320...21L"
    }
  }
}