{
  "id": "2210.08967",
  "version": "v1",
  "published": "2022-10-17T11:58:40.000Z",
  "updated": "2022-10-17T11:58:40.000Z",
  "title": "Characterization of SRB Measures for Random Dynamical Systems on Banach space",
  "authors": [
    "Chiyi Luo",
    "Yun Zhao"
  ],
  "categories": [
    "math.DS",
    "math.FA"
  ],
  "abstract": "We consider $C^2$ random dynamical systems on Banach spaces, and prove that the SRB measures are characterized by invariant measures satisfying the Pesin entropy formula, in which entropy is equal to volume growth on unstable manifolds, and equivalently the sum of positive Lyapunov exponents.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-10-17T11:58:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "random dynamical systems",
      "banach space",
      "srb measures",
      "characterization",
      "pesin entropy formula"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}