{
  "id": "1505.07211",
  "version": "v1",
  "published": "2015-05-27T07:20:47.000Z",
  "updated": "2015-05-27T07:20:47.000Z",
  "title": "Typical points and families of expanding interval mappings",
  "authors": [
    "Tomas Persson"
  ],
  "comment": "15 pages, 2 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "We study parametrised families of piecewise expanding interval mappings $T_a \\colon [0,1] \\to [0,1]$ with absolutely continuous invariant measures $\\mu_a$ and give sufficient conditions for a point $X(a)$ to be typical for $(T_a, \\mu_a)$ for almost all parameters $a$. This is similar to a result by D.\\ Schnellmann, but with different assumptions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-05-27T07:20:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37E05",
      "37A05",
      "37D20"
    ],
    "keywords": [
      "typical points",
      "study parametrised families",
      "sufficient conditions",
      "piecewise expanding interval mappings",
      "absolutely continuous invariant measures"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}