{
  "id": "1711.09245",
  "version": "v1",
  "published": "2017-11-25T15:03:21.000Z",
  "updated": "2017-11-25T15:03:21.000Z",
  "title": "Exponential equidistribution of standard pairs for piecewise expanding maps of metric spaces",
  "authors": [
    "Peyman Eslami"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "For a large class of piecewise expanding maps of a metric space we show the equidistribution of standard pairs at an exponential rate. As a corollary such systems have a unique absolutely continuous invariant probability measure with respect to which they are exponentially mixing. We allow for non-compact spaces and do not assume or use the existence of a Markov structure. Furthermore, we provide explicit estimates on the exponential rate of equidistribution and various constants involved.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-11-25T15:03:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C40",
      "37A25"
    ],
    "keywords": [
      "piecewise expanding maps",
      "standard pairs",
      "metric space",
      "exponential equidistribution",
      "exponential rate"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}