{
  "id": "1409.8167",
  "version": "v1",
  "published": "2014-09-29T16:08:09.000Z",
  "updated": "2014-09-29T16:08:09.000Z",
  "title": "On Hoelder-continuity of Oseledets subspaces",
  "authors": [
    "Vitor Araujo",
    "Alexander I. Bufetov",
    "Simion Filip"
  ],
  "comment": "27 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "For Hoelder cocycles over a Lipschitz base transformation, possibly non-invertible, we show that the subbundles given by the Oseledets Theorem are Hoelder-continuous on compact sets of measure arbitrarily close to 1. The results extend to vector bundle automorphisms, as well as to the Kontsevich-Zorich cocycle over the Teichmueller flow on the moduli space of abelian differentials. Following a recent result of Chaika-Eskin, our results also extend to any given Teichmueller disk.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-29T16:08:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D25",
      "37A50",
      "37C40"
    ],
    "keywords": [
      "oseledets subspaces",
      "hoelder-continuity",
      "lipschitz base transformation",
      "vector bundle automorphisms",
      "teichmueller disk"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.8167A"
    }
  }
}