{
  "id": "1811.12674",
  "version": "v1",
  "published": "2018-11-30T08:57:11.000Z",
  "updated": "2018-11-30T08:57:11.000Z",
  "title": "Unstable Entropy and Unstable Pressure for Random Diffeomorphisms with Domination",
  "authors": [
    "Xinsheng Wang",
    "Weisheng Wu",
    "Yujun Zhu"
  ],
  "comment": "26 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "Let $\\mathcal{F}$ be a $C^2$ random dynamical system with $u$-domination. For the unstable foliation, the corresponding unstable metric entropy, unstable topological entropy and unstable pressure via the dynamics of $\\mathcal{F}$ on the unstable foliation are introduced and investigated. A version of Shannon-McMillan-Brieman Theorem for unstable metric entropy is given, and a variational principle for unstable pressure (and hence for unstable entropy) is obtained. Moreover, as an application of the variational principle, equilibrium states for the unstable pressure are investigated.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-11-30T08:57:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A35",
      "37C40",
      "37D25"
    ],
    "keywords": [
      "unstable pressure",
      "unstable entropy",
      "random diffeomorphisms",
      "domination",
      "variational principle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}