{
  "id": "2006.08077",
  "version": "v1",
  "published": "2020-06-15T01:26:21.000Z",
  "updated": "2020-06-15T01:26:21.000Z",
  "title": "Entropies of commuting transformations on Hilbert spaces",
  "authors": [
    "Zhiming Li",
    "Yujun Zhu"
  ],
  "categories": [
    "math.DS",
    "math.FA"
  ],
  "abstract": "By establishing Multiplicative Ergodic Theorem for commutative transformations on a separable infinite dimensional Hilbert space, in this paper, we investigate Pesin's entropy formula and SRB measures of a finitely generated random transformations on such space via its commuting generators. Moreover, as an application, we give a formula of Friedland's entropy for certain $C^{2}$ $\\mathbb{N}^2$-actions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-15T01:26:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "commuting transformations",
      "separable infinite dimensional hilbert space",
      "pesins entropy formula",
      "friedlands entropy",
      "finitely generated random transformations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}