{
  "id": "2002.10863",
  "version": "v1",
  "published": "2020-02-25T14:06:21.000Z",
  "updated": "2020-02-25T14:06:21.000Z",
  "title": "Extreme Value Theory with Spectral Techniques: application to a simple attractor",
  "authors": [
    "Jason Atnip",
    "Nicolai Haydn",
    "Sandro Vaienti"
  ],
  "comment": "15 p",
  "categories": [
    "math.DS",
    "nlin.CD"
  ],
  "abstract": "We give a brief account of application of extreme value theory in dynamical systems by using perturbation techniques associated to the transfer operator. We will apply it to the baker's map and we will get a precise formula for the extremal index. We will also show that the statistics of the number of visits in small sets is compound Poisson distributed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-02-25T14:06:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "extreme value theory",
      "simple attractor",
      "spectral techniques",
      "application",
      "brief account"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}