{
  "id": "1601.04119",
  "version": "v1",
  "published": "2016-01-16T03:19:08.000Z",
  "updated": "2016-01-16T03:19:08.000Z",
  "title": "Disjointness between bounded rank-one transformations",
  "authors": [
    "Su Gao",
    "Aaron Hill"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "In this paper some sufficient conditions are given for when two bounded rank-one transformations are isomorphic or disjoint. For commensurate, canonically bounded rank-one transformations, isomorphism and disjointness are completely determined by simple conditions in terms of their cutting and spacer parameters. We also obtain sufficient conditions for bounded rank-one transformations to have minimal self-joinings. As an application, we give a proof of Ryzhikov's theorem that totally ergodic, non-rigid, bounded rank-one transformations have minimal self-joinings of all orders.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-01-16T03:19:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "disjointness",
      "sufficient conditions",
      "minimal self-joinings",
      "ryzhikovs theorem",
      "spacer parameters"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}