{
  "id": "2308.12101",
  "version": "v1",
  "published": "2023-08-23T12:44:13.000Z",
  "updated": "2023-08-23T12:44:13.000Z",
  "title": "Polynomial rate of mixing for a family of billiard flows",
  "authors": [
    "Bonnafoux Etienne"
  ],
  "comment": "10 pages, 3 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove that the continuous correlation function decrease polynomially for two families of billiard studied by Chernov and Zhang. The main computation is to show that the return function is Holder on stable and unstable manifold.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-08-23T12:44:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "polynomial rate",
      "billiard flows",
      "continuous correlation function decrease",
      "main computation",
      "return function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}