{
  "id": "1107.4704",
  "version": "v2",
  "published": "2011-07-23T18:39:52.000Z",
  "updated": "2011-11-23T10:57:45.000Z",
  "title": "Reducibility of cocycles under a Brjuno-Rüssmann arithmetical condition",
  "authors": [
    "Claire Chavaudret",
    "Stefano Marmi"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "The arithmetics of the frequency and of the rotation number play a fundamental role in the study of reducibility of analytic quasi-periodic cocycles which are sufficiently close to a constant. In this paper we show how to generalize previous works by L.H.Eliasson which deal with the diophantine case so as to implement a Brjuno-Russmann arithmetical condition both on the frequency and on the rotation number. Our approach adapts the Poschel-Russmann KAM method, which was previously used in the problem of linearization of vector fields, to the problem of reducing cocycles.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-11-23T10:57:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "brjuno-rüssmann arithmetical condition",
      "reducibility",
      "analytic quasi-periodic cocycles",
      "rotation number play",
      "poschel-russmann kam method"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1107.4704C"
    }
  }
}