{
  "id": "1708.03695",
  "version": "v1",
  "published": "2017-08-11T20:32:32.000Z",
  "updated": "2017-08-11T20:32:32.000Z",
  "title": "Large Deviation Principle for $S$-unimodal maps with flat critical point",
  "authors": [
    "Yong Moo Chung",
    "Hiroki Takahasi"
  ],
  "comment": "16 pages, no figure",
  "categories": [
    "math.DS",
    "math.PR"
  ],
  "abstract": "We study a topologically exact, negative Schwarzian unimodal map whose critical point is non-recurrent and flat. Assuming the critical order is either logarithmic or polynomial, we establish the Large Deviation Principle. A key ingredient is an inducing scheme equipped with a specification-like property.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-08-11T20:32:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C40",
      "37C45",
      "37D25",
      "37D35",
      "37E05",
      "60F10"
    ],
    "keywords": [
      "large deviation principle",
      "flat critical point",
      "negative schwarzian unimodal map",
      "topologically exact",
      "non-recurrent"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}