{
  "id": "2208.09146",
  "version": "v1",
  "published": "2022-08-19T04:39:02.000Z",
  "updated": "2022-08-19T04:39:02.000Z",
  "title": "Entropy Formulae on Feldman-Katok Metric of Random Dynamical Systems",
  "authors": [
    "Yunxiang Xie",
    "Ercai Chen",
    "Kexiang Yang"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "In this paper, we study the Feldman-Katok metric in random dynamical systems and establish corresponding fiber topological entropy formula, Brin-Katok local entropy formula and fiber Katok entropy formula by replacing Bowen metric with Feldman-Katok metric. It turns out that the Feldman-Katok metric is also the weakest metric that makes the entropy formulae valid on random dynamical systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-08-19T04:39:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "random dynamical systems",
      "feldman-katok metric",
      "fiber katok entropy formula",
      "brin-katok local entropy formula",
      "corresponding fiber topological entropy formula"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}