{
  "id": "1212.2602",
  "version": "v2",
  "published": "2012-12-11T20:09:54.000Z",
  "updated": "2012-12-12T19:20:44.000Z",
  "title": "Minimal Self-Joinings, Bounded Constructions, and Weak Closure of Ergodic Actions",
  "authors": [
    "V. V. Ryzhikov"
  ],
  "comment": "Ergodic theory",
  "categories": [
    "math.DS"
  ],
  "abstract": "For a weakly mixing bounded rank-one construction the disjointness of its powers is proved. For non-rigid constructions we get minimal self-joinings. Examples of non-mixing rank one actions with explicit weak closure are proposed.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-12-12T19:20:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "minimal self-joinings",
      "ergodic actions",
      "bounded constructions",
      "explicit weak closure",
      "weakly mixing bounded rank-one construction"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1212.2602R"
    }
  }
}