{
  "id": "1405.6981",
  "version": "v1",
  "published": "2014-05-27T17:24:32.000Z",
  "updated": "2014-05-27T17:24:32.000Z",
  "title": "Stretched-exponential mixing for $\\mathscr{C}^{1+α}$ skew products with discontinuities",
  "authors": [
    "Peyman Eslami"
  ],
  "comment": "21 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "Consider the skew product $F:\\mathbb{T}^2 \\to \\mathbb{T}^2$, $F(x,y)= (f(x),y+\\tau(x))$, where $f:\\mathbb{T}^1\\to \\mathbb{T}^1$ is a piecewise $\\mathscr{C}^{1+\\alpha}$ expanding map on a countable partition and $\\tau:\\mathbb{T}^1 \\to \\mathbb{R}$ is piecewise $\\mathscr{C}^1$. It is shown that if $\\tau$ is not Lipschitz-cohomologous to a piecewise constant function on the joint partition of $\\tau$ and $f$, then $F$ is mixing at a stretched-exponential rate.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-05-27T17:24:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A25"
    ],
    "keywords": [
      "skew product",
      "stretched-exponential mixing",
      "discontinuities",
      "piecewise constant function",
      "joint partition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1405.6981E"
    }
  }
}