{
  "id": "1307.6433",
  "version": "v2",
  "published": "2013-07-24T14:20:42.000Z",
  "updated": "2013-08-19T14:02:33.000Z",
  "title": "Large deviation principles of one-dimensional maps for Hölder continuous potentials",
  "authors": [
    "Huaibin Li"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1210.0521",
  "doi": "10.1017/etds.2014.55",
  "categories": [
    "math.DS"
  ],
  "abstract": "We show some level-2 large deviation principles for real and complex one-dimensional maps satisfying a weak form of hyperbolicity. More precisely, we prove a large deviation principle for the distribution of iterated preimages, periodic points, and Birkhoff averages.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-08-19T14:02:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37E05",
      "37F10",
      "37D35",
      "60F10"
    ],
    "keywords": [
      "large deviation principle",
      "hölder continuous potentials",
      "complex one-dimensional maps satisfying",
      "weak form",
      "periodic points"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.6433L"
    }
  }
}