{
  "id": "1507.08978",
  "version": "v1",
  "published": "2015-07-31T19:13:46.000Z",
  "updated": "2015-07-31T19:13:46.000Z",
  "title": "Continuity of Lyapunov Exponents for Cocycles with Invariant Holonomies",
  "authors": [
    "Lucas Backes",
    "Aaron W. Brown",
    "Clark Butler"
  ],
  "comment": "34 pages, 1 figure",
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove a conjecture of Viana which states that Lyapunov exponents vary continuously when restricted to $GL(2,\\mathbb{R})$-valued cocycles over a subshift of finite type which admit invariant holonomies that depend continuously on the cocycle.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-07-31T19:13:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "continuity",
      "lyapunov exponents vary",
      "admit invariant holonomies",
      "finite type",
      "valued cocycles"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150708978B"
    }
  }
}