{
  "id": "1012.2798",
  "version": "v1",
  "published": "2010-12-13T16:48:19.000Z",
  "updated": "2010-12-13T16:48:19.000Z",
  "title": "A strong invariance principle for nonconventional sums",
  "authors": [
    "Yuri Kifer"
  ],
  "comment": "17 pages",
  "journal": "Probability Theory and Related Fields 155 (2013), 463-486",
  "categories": [
    "math.PR",
    "math.DS"
  ],
  "abstract": "This paper deals with strong invariance principles (known also as strong approximation theorems) for sums of the form $\\sum_{n=1}^{[Nt]}F\\big(X(n),X(2n),...,X(kn), X(q_{k+1}(n)),X(q_{k+2}(n)),..., X(q_\\ell(n))\\big)$",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-12-13T16:48:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F15"
    ],
    "keywords": [
      "strong invariance principle",
      "nonconventional sums",
      "strong approximation theorems",
      "paper deals"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1012.2798K"
    }
  }
}