{
  "id": "math/0612624",
  "version": "v1",
  "published": "2006-12-20T23:26:09.000Z",
  "updated": "2006-12-20T23:26:09.000Z",
  "title": "Rotation Numbers for Random Dynamical Systems on the Circle",
  "authors": [
    "Weigu Li",
    "Kening Lu"
  ],
  "comment": "21 pages",
  "categories": [
    "math.DS",
    "math.CA"
  ],
  "abstract": "In this paper, we study rotation numbers of random dynamical systems on the circle. We prove the existence of rotation numbers and the continuous dependence of rotation numbers on the systems. As an application, we prove a theorem on analytic conjugacy to a circle rotation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-12-20T23:26:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "random dynamical systems",
      "study rotation numbers",
      "circle rotation",
      "analytic conjugacy",
      "continuous dependence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....12624L"
    }
  }
}