{
  "id": "1603.00268",
  "version": "v1",
  "published": "2016-03-01T13:34:35.000Z",
  "updated": "2016-03-01T13:34:35.000Z",
  "title": "Ergodic measures on compact metric spaces for isometric actions by inductively compact groups",
  "authors": [
    "Yanqi Qiu"
  ],
  "comment": "6 pages",
  "categories": [
    "math.DS",
    "math.PR"
  ],
  "abstract": "We obtain a partial converse of Vershik's description of ergodic probability measures on a compact metric space with respect to an isometric action by an inductively compact group. This allows us to identify, in this setting, the set of ergodic probability measures with the set of weak limit points of orbital measures.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-03-01T13:34:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A25",
      "28A33"
    ],
    "keywords": [
      "compact metric space",
      "inductively compact group",
      "isometric action",
      "ergodic measures",
      "ergodic probability measures"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160300268Q"
    }
  }
}