{
  "id": "2408.09569",
  "version": "v1",
  "published": "2024-08-18T18:46:22.000Z",
  "updated": "2024-08-18T18:46:22.000Z",
  "title": "Forcing Minimal Interval Patterns as Interval Exchange Transformations",
  "authors": [
    "Sourav Bhattacharya"
  ],
  "comment": "13 pages, 5 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove that any over-twist pattern is conjugate to an interval exchange transformation with bounded number of segments of isometry, restricted on one of its cycles. The bound is independent of the period and over-rotation number of the over-twist pattern and depends only on its modality.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-08-18T18:46:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37E05",
      "37E10",
      "37E15",
      "37E45"
    ],
    "keywords": [
      "interval exchange transformation",
      "forcing minimal interval patterns",
      "over-twist pattern",
      "over-rotation number",
      "independent"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}