{
  "id": "1301.5464",
  "version": "v2",
  "published": "2013-01-23T10:49:39.000Z",
  "updated": "2013-08-20T14:53:41.000Z",
  "title": "Almost reduction and perturbation of matrix cocycles",
  "authors": [
    "Jairo Bochi",
    "Andrés Navas"
  ],
  "comment": "10 pages, no figures. A few corrections were made in this version",
  "categories": [
    "math.DS"
  ],
  "abstract": "In this note, we show that if all Lyapunov exponents of a matrix cocycle vanish, then it can be perturbed to become cohomologous to a cocycle taking values in the orthogonal group. This extends a result of Avila, Bochi and Damanik to general base dynamics and arbitrary dimension. We actually prove a fibered version of this result, and apply it to study the existence of dominated splittings into conformal subbundles of general matrix cocycles.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-08-20T14:53:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "perturbation",
      "general base dynamics",
      "general matrix cocycles",
      "lyapunov exponents",
      "conformal subbundles"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014AnIHP..31.1101B"
    }
  }
}