{
  "id": "2003.09490",
  "version": "v1",
  "published": "2020-03-20T20:36:46.000Z",
  "updated": "2020-03-20T20:36:46.000Z",
  "title": "Ergodicity and central limit theorem for random interval homeomorphisms",
  "authors": [
    "Klaudiusz Czudek",
    "Tomasz Szarek"
  ],
  "comment": "17 pages; accepted to publication in Israel Journal of Mathematics",
  "categories": [
    "math.DS"
  ],
  "abstract": "The central limit theorem for Markov chains generated by iterated function systems consisting of orientation preserving homeomorphisms of the interval is proved. We study also ergodicity of such systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-20T20:36:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F05",
      "60J25",
      "37A25",
      "76N10"
    ],
    "keywords": [
      "central limit theorem",
      "random interval homeomorphisms",
      "ergodicity",
      "markov chains",
      "orientation preserving homeomorphisms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}