{
  "id": "0811.3953",
  "version": "v2",
  "published": "2008-11-24T20:04:38.000Z",
  "updated": "2009-12-16T15:40:43.000Z",
  "title": "Convergence of multiple ergodic averages along cubes for several commuting transformations",
  "authors": [
    "Qing Chu"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove the norm convergence of multiple ergodic averages along cubes for several commuting transformations, and derive corresponding combinatorial results. The method we use relies primarily on the \"magic extension\" established recently by B. ~Host.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-12-16T15:40:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A05",
      "37A30"
    ],
    "keywords": [
      "multiple ergodic averages",
      "commuting transformations",
      "magic extension",
      "norm convergence",
      "derive corresponding combinatorial results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0811.3953C"
    }
  }
}