{
  "id": "1904.05761",
  "version": "v1",
  "published": "2019-04-10T00:38:40.000Z",
  "updated": "2019-04-10T00:38:40.000Z",
  "title": "Point processes of non stationary sequences generated by sequential and random dynamical systems",
  "authors": [
    "Ana Cristina Moreira Freitas",
    "Jorge Milhazes Freitas",
    "Mário Magalhães",
    "Sandro Vaienti"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1507.00599",
  "categories": [
    "math.DS",
    "math.PR"
  ],
  "abstract": "We give general sufficient conditions to prove the convergence of marked point processes that keep record of the occurrence of rare events and of their impact for non-autonomous dynamical systems. We apply the results to sequential dynamical systems associated to uniformly expanding maps and to random dynamical systems given by fibred Lasota Yorke maps.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-04-10T00:38:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "random dynamical systems",
      "non stationary sequences",
      "sequential",
      "general sufficient conditions",
      "fibred lasota yorke maps"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}