{
  "id": "1512.03721",
  "version": "v1",
  "published": "2015-12-11T17:20:08.000Z",
  "updated": "2015-12-11T17:20:08.000Z",
  "title": "Several remarks on Pascal automorphism and infinite ergodic theory",
  "authors": [
    "Anatoly Vershik"
  ],
  "comment": "14 pp,Ref.16",
  "categories": [
    "math.DS"
  ],
  "abstract": "We interpret the Pascal-adic transformation as a generalized induced automorphism (over odometer) and formulate the $\\sigma$-finite analog of odometer which is also known as \"Hajian-Kakutani transformation\" (former \"Ohio state example\"). We shortly suggest a sketch of the theory of random walks on the groups on the base of $\\sigma$-finite ergodic theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-12-11T17:20:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "28E99"
    ],
    "keywords": [
      "infinite ergodic theory",
      "pascal automorphism",
      "ohio state example",
      "pascal-adic transformation",
      "random walks"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}