{
  "id": "2409.18805",
  "version": "v1",
  "published": "2024-09-27T14:57:27.000Z",
  "updated": "2024-09-27T14:57:27.000Z",
  "title": "Hölder continuity of invariant density and entropy for piecewise expanding maps",
  "authors": [
    "José F. Alves",
    "Odaudu R. Etubi"
  ],
  "comment": "16 pages, 1 figure",
  "categories": [
    "math.DS"
  ],
  "abstract": "Using an abstract perturbation result established by Keller and Liverani, we obtain the H\\\"older continuity of the invariant density and entropy of the physical measures for some families of piecewise expanding maps. We apply these results to a family of two-dimensional tent maps.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-09-27T14:57:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "piecewise expanding maps",
      "invariant density",
      "hölder continuity",
      "two-dimensional tent maps",
      "abstract perturbation result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}