{
  "id": "2010.04636",
  "version": "v1",
  "published": "2020-10-09T15:26:51.000Z",
  "updated": "2020-10-09T15:26:51.000Z",
  "title": "Some factors of nonsingular Bernoulli shifts",
  "authors": [
    "Zemer Kosloff",
    "Terry Soo"
  ],
  "comment": "25 pages",
  "categories": [
    "math.DS",
    "math.PR"
  ],
  "abstract": "We give examples of elementary factors of nonsingular Bernoulli shifts. In particular, we show that some examples of type-III:1 Bernoulli shifts on two symbols have a factor that is equivalent to an independent and identically distributed system. We also prove that there are type-III:1 Bernoulli shifts of every possible ergodic index, answering a question of Danilenko and Lemanczyk (Ergodic Theory Dyanam. Systems, 39(12):3292-3321, 2019).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-09T15:26:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A40",
      "37A20",
      "37A35"
    ],
    "keywords": [
      "nonsingular bernoulli shifts",
      "ergodic theory dyanam",
      "elementary factors",
      "ergodic index",
      "equivalent"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}