{
  "id": "0906.4847",
  "version": "v2",
  "published": "2009-06-26T06:29:58.000Z",
  "updated": "2009-10-12T19:16:24.000Z",
  "title": "Recurrence for random dynamical systems",
  "authors": [
    "Philippe Marie",
    "Jerome Rousseau"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "This paper is a first step in the study of the recurrence behavior in random dynamical systems and randomly perturbed dynamical systems. In particular we define a concept of quenched and annealed return times for systems generated by the composition of random maps. We moreover prove that for super-polynomially mixing systems, the random recurrence rate is equal to the local dimension of the stationary measure.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-10-12T19:16:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C45",
      "37B20",
      "37A25"
    ],
    "keywords": [
      "random dynamical systems",
      "random recurrence rate",
      "local dimension",
      "first step",
      "annealed return times"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0906.4847M"
    }
  }
}