{
  "id": "2403.07488",
  "version": "v1",
  "published": "2024-03-12T10:25:32.000Z",
  "updated": "2024-03-12T10:25:32.000Z",
  "title": "A variational principle for entropy of a random dynamical system",
  "authors": [
    "Yuan Lian"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "In this article, I give a definition of topological entropy for random dynamical systems associated to an infinite countable discrete amenable group action. I obtain a variational principle between the topological entropy and measurable fiber entropy of a random dynamical system.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-03-12T10:25:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "random dynamical system",
      "variational principle",
      "topological entropy",
      "countable discrete amenable group action",
      "infinite countable discrete amenable group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}