{
  "id": "1908.07716",
  "version": "v1",
  "published": "2019-08-21T06:00:53.000Z",
  "updated": "2019-08-21T06:00:53.000Z",
  "title": "Existence of Large deviations rate function for any $S$-unimodal map",
  "authors": [
    "Hiroki Takahasi",
    "Masato Tsujii"
  ],
  "comment": "32 pages, no figure",
  "categories": [
    "math.DS"
  ],
  "abstract": "For any unimodal map with negative Schwarzian derivative and with non-flat critical point, we establish the level-2 Large Deviation Principle for empirical distributions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-08-21T06:00:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A50",
      "37D20",
      "37D25",
      "37D35",
      "37E05",
      "37E20"
    ],
    "keywords": [
      "large deviations rate function",
      "unimodal map",
      "large deviation principle",
      "non-flat critical point",
      "empirical distributions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}