{
  "id": "1210.5202",
  "version": "v2",
  "published": "2012-10-18T17:39:00.000Z",
  "updated": "2013-01-10T10:48:44.000Z",
  "title": "Cube spaces and the multiple term return times theorem",
  "authors": [
    "Pavel Zorin-Kranich"
  ],
  "comment": "v2: 13 p., main result has been extended to tempered F{\\o}lner sequences",
  "categories": [
    "math.DS"
  ],
  "abstract": "We give a new proof of Rudolph's multiple term return times theorem based on Host-Kra structure theory. Our approach provides characteristic factors for all terms, works for arbitrary tempered F{\\o}lner sequences and also yields a multiple term Wiener-Wintner-type return times theorem for nilsequences.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-01-10T10:48:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "28D05",
      "37A05"
    ],
    "keywords": [
      "multiple term return times theorem",
      "cube spaces",
      "multiple term wiener-wintner-type return times",
      "rudolphs multiple term return times",
      "term wiener-wintner-type return times theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1210.5202Z"
    }
  }
}