{
  "id": "1106.4655",
  "version": "v1",
  "published": "2011-06-23T08:56:38.000Z",
  "updated": "2011-06-23T08:56:38.000Z",
  "title": "On Mixing Rank One Infinite Transformations",
  "authors": [
    "V. V. Ryzhikov"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "J.-P. Thouvenot and the author showed via different approaches that the centralizer of a mixing rank-one infinite measure preserving transformation was trivial. In this note the author presents his joining proof. We also consider constructions with algebraic spacers as well as a class of Sidon constructions to produce new examples of mixing rank one transformations. In connection with Gordin's question on the existence of homoclinic ergodic actions for a zero entropy system we also discuss Poisson suspensions of some modifications of Sidon rank one constructions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-06-23T08:56:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "infinite transformations",
      "rank-one infinite measure preserving transformation",
      "homoclinic ergodic actions",
      "mixing rank-one infinite measure",
      "constructions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1106.4655R"
    }
  }
}