{
  "id": "1208.3501",
  "version": "v3",
  "published": "2012-08-16T21:44:54.000Z",
  "updated": "2014-06-16T17:21:45.000Z",
  "title": "Ergodic universality of some topological dynamical systems",
  "authors": [
    "Anthony Quas",
    "Terry Soo"
  ],
  "comment": "43 pages, minor revisions, added a figure",
  "categories": [
    "math.DS"
  ],
  "abstract": "The Krieger generator theorem says that every invertible ergodic measure-preserving system with finite measure-theoretic entropy can be embedded into a full shift with strictly greater topological entropy. We extend Krieger's theorem to include toral automorphisms, and more generally, any topological dynamical system on a compact metric space that satisfies almost weak specification, asymptotic entropy expansiveness, and the small boundary property. As a corollary, one obtains a complete solution to a natural generalization of an open problem in Halmos's 1956 book regarding an isomorphism invariant that he proposed.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-06-16T17:21:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A35"
    ],
    "keywords": [
      "topological dynamical system",
      "ergodic universality",
      "krieger generator theorem says",
      "asymptotic entropy expansiveness",
      "extend kriegers theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 43,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1208.3501Q"
    }
  }
}