{
  "id": "1206.1397",
  "version": "v2",
  "published": "2012-06-07T04:34:37.000Z",
  "updated": "2012-06-21T19:09:02.000Z",
  "title": "Multifractal analysis of some multiple ergodic averages for the systems with non-constant Lyapunov exponents",
  "authors": [
    "Lingmin Liao",
    "Michal Rams"
  ],
  "comment": "13 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "We study certain multiple ergodic averages of an iterated functions system generated by two contractions on the unit interval. By using the dynamical coding ${0,1}^{\\mathbb{N}}$ of the attractor, we compute the Hausdorff dimension of the set of points with a given frequency of the pattern 11 in positions $k, 2k$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-06-21T19:09:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "multiple ergodic averages",
      "non-constant lyapunov exponents",
      "multifractal analysis",
      "unit interval",
      "hausdorff dimension"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1206.1397L"
    }
  }
}