{
  "id": "1608.02843",
  "version": "v1",
  "published": "2016-08-09T15:47:18.000Z",
  "updated": "2016-08-09T15:47:18.000Z",
  "title": "What are Lyapunov exponents, and why are they interesting?",
  "authors": [
    "Amie Wilkinson"
  ],
  "comment": "27 pages. To appear in the Bulletin of the AMS",
  "categories": [
    "math.DS",
    "math-ph",
    "math.GT",
    "math.MP",
    "math.SP"
  ],
  "abstract": "This expository paper, based on a Current Events Bulletin talk at the January, 2016 Joint Meetings, introduces the concept of Lyapunov exponents and discusses the role they play in three areas: smooth ergodic theory, Teichm\\\"uller theory, and the spectral theory of one-frequency Schr\\\"odinger operators. The inspiration for this paper is the work of 2014 Fields Medalist Artur Avila, and his work in these areas is given special attention.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-08-09T15:47:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C40",
      "37D25",
      "37H15",
      "34D08",
      "37C60",
      "47B36",
      "32G15"
    ],
    "keywords": [
      "lyapunov exponents",
      "current events bulletin talk",
      "fields medalist artur avila",
      "smooth ergodic theory",
      "special attention"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}