{
  "id": "1003.1808",
  "version": "v1",
  "published": "2010-03-09T07:16:33.000Z",
  "updated": "2010-03-09T07:16:33.000Z",
  "title": "Cocycles over interval exchange transformations and multivalued Hamiltonian flows",
  "authors": [
    "Jean-Pierre Conze",
    "Krzysztof Fraczek"
  ],
  "comment": "45 pages, 2 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "We consider interval exchange transformations of periodic type and construct different classes of recurrent ergodic cocycles of dimension $\\geq 1$ over this special class of IETs. Then using Poincar\\'e sections we apply this construction to obtain recurrence and ergodicity for some smooth flows on non-compact manifolds which are extensions of multivalued Hamiltonian flows on compact surfaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-03-09T07:16:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A40",
      "37C40"
    ],
    "keywords": [
      "interval exchange transformations",
      "multivalued hamiltonian flows",
      "recurrent ergodic cocycles",
      "periodic type",
      "special class"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 45,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1003.1808C"
    }
  }
}