{
  "id": "1510.04357",
  "version": "v1",
  "published": "2015-10-15T00:11:28.000Z",
  "updated": "2015-10-15T00:11:28.000Z",
  "title": "Extreme Value Laws for non stationary processes generated by sequential and random dynamical systems",
  "authors": [
    "Ana Cristina Moreira Freitas",
    "Jorge Milhazes Freitas",
    "Sandro Vaienti"
  ],
  "categories": [
    "math.DS",
    "math-ph",
    "math.MP",
    "math.PR"
  ],
  "abstract": "We develop and generalize the theory of extreme value for non-stationary stochastic processes, mostly by weakening the uniform mixing condition that was previously used in this setting. We apply our results to non-autonomous dynamical systems, in particular to sequential dynamical systems, both given by uniformly expanding maps and by maps with a neutral fixed point, and to a few classes of random dynamical systems. Some examples are presented and worked out in detail.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-15T00:11:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "random dynamical systems",
      "non stationary processes",
      "extreme value laws",
      "non-stationary stochastic processes",
      "uniform mixing condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151004357M"
    }
  }
}