{
  "id": "math/0509093",
  "version": "v3",
  "published": "2005-09-05T19:28:05.000Z",
  "updated": "2007-06-28T13:14:51.000Z",
  "title": "Absolutely continuous, invariant measures for dissipative, ergodic transformations",
  "authors": [
    "Jon. Aaronson",
    "Tom Meyerovitch"
  ],
  "comment": "example and reference added",
  "journal": "Colloq. Math. 110 (2008), no. 1, 193--199",
  "categories": [
    "math.DS",
    "math.PR"
  ],
  "abstract": "We show that a dissipative, ergodic measure preserving transformation of a sigma-finite, non-atomic measure space always has many non-proportional, absolutely continuous, invariant measures and is ergodic with respect to each one of these.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2007-06-28T13:14:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A05",
      "37A40"
    ],
    "keywords": [
      "invariant measures",
      "ergodic transformations",
      "absolutely continuous",
      "non-atomic measure space",
      "dissipative"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......9093A"
    }
  }
}