{
  "id": "1906.09862",
  "version": "v1",
  "published": "2019-06-24T11:43:42.000Z",
  "updated": "2019-06-24T11:43:42.000Z",
  "title": "Ergodic measures of intermediate entropies for dynamical systems with approximate product property",
  "authors": [
    "Peng Sun"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "Consider a dynamical system with asymptotic entropy expansiveness and approximate product property. We show that it has ergodic measures of arbitrary intermediate entropies. A similar conclusion actually holds in every neighborhood of an invariant measure. Moreover, for such systems the ergodic measures of zero entropy forms a residual set in the space of invariant measures.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-06-24T11:43:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A35",
      "37C50"
    ],
    "keywords": [
      "approximate product property",
      "ergodic measures",
      "dynamical system",
      "invariant measure",
      "zero entropy forms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}