{
  "id": "1103.3241",
  "version": "v1",
  "published": "2011-03-16T17:35:08.000Z",
  "updated": "2011-03-16T17:35:08.000Z",
  "title": "Strong approximation of partial sums under dependence conditions with application to dynamical systems",
  "authors": [
    "Florence Merlevède",
    "Emmanuel Rio"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "In this paper, we obtain precise rates of convergence in the strong invariance principle for stationary sequences of real-valued random variables satisfying weak dependence conditions including strong mixing in the sense of Rosenblatt (1956) as a special case. Applications to unbounded functions of intermittent maps are given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-03-16T17:35:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F17",
      "37E05"
    ],
    "keywords": [
      "partial sums",
      "strong approximation",
      "dynamical systems",
      "application",
      "random variables satisfying weak dependence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1103.3241M"
    }
  }
}