{
  "id": "1901.07221",
  "version": "v1",
  "published": "2019-01-22T09:21:08.000Z",
  "updated": "2019-01-22T09:21:08.000Z",
  "title": "Ergodic measures with infinite entropy",
  "authors": [
    "Eleonora Catsigeras",
    "Serge Troubetzkoy"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We construct ergodic probability measures with infinite imetric entropy for typical continuous maps and homeomorphisms on compact manifolds. We also construct sequences of such measures that converge to a zero-entropy measure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-01-22T09:21:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "infinite entropy",
      "ergodic measures",
      "construct ergodic probability measures",
      "infinite imetric entropy",
      "compact manifolds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}