{
  "id": "1903.02251",
  "version": "v1",
  "published": "2019-03-06T09:08:52.000Z",
  "updated": "2019-03-06T09:08:52.000Z",
  "title": "A note on minimal models for pmp actions",
  "authors": [
    "Andy Zucker"
  ],
  "categories": [
    "math.DS",
    "math.GR"
  ],
  "abstract": "Given a countable group $G$, we say that a metrizable flow $Y$ is model-universal if by considering the various invariant measures on $Y$, we can recover every free measure-preserving $G$-system up to isomorphism. Weiss has constructed a minimal model-universal flow. In this note, we provide a new, streamlined construction, allowing us to show that a minimal model-universal flow is far from unique.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-03-06T09:08:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "minimal models",
      "pmp actions",
      "minimal model-universal flow",
      "invariant measures",
      "metrizable flow"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}