{
  "id": "1908.07635",
  "version": "v1",
  "published": "2019-08-20T22:29:13.000Z",
  "updated": "2019-08-20T22:29:13.000Z",
  "title": "Over-rotation intervals of bimodal interval maps",
  "authors": [
    "Sourav Bhattacharya",
    "Alexander Blokh"
  ],
  "comment": "33 pages and 13 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "We describe all possible bimodal over-twist patterns. In particular, we give an algorithm allowing one to determine what the left endpoint of the over-rotation interval of a given bimodal map is. We then define a new class of polymodal interval maps called well behaved, and generalize the above results onto well behaved maps.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-08-20T22:29:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37E05",
      "37E15",
      "37E45"
    ],
    "keywords": [
      "bimodal interval maps",
      "over-rotation interval",
      "bimodal over-twist patterns",
      "polymodal interval maps",
      "left endpoint"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}