{
  "id": "0903.4226",
  "version": "v1",
  "published": "2009-03-25T16:40:49.000Z",
  "updated": "2009-03-25T16:40:49.000Z",
  "title": "Dynamics of the $p$-adic Shift and Applications",
  "authors": [
    "James Kingsbery",
    "Alex Levin",
    "Anatoly Preygel",
    "Cesar E. Silva"
  ],
  "comment": "15 pages, 1 figure",
  "journal": "Discrete Contin. Dyn. Syst. 30 (2011), no. 1, 209-218",
  "categories": [
    "math.DS"
  ],
  "abstract": "We present a novel way of realizing the Bernoulli shift on $p$ symbols on the $p$-adic integers, where $p$ is a prime. By showing that suitably small perturbations of the shift are still Bernoulli we find many \"nice\" maps, such as polynomials on $\\mathbb Z_p$, that are isomorphic to the (noninvertible) Bernoulli shift.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-03-25T16:40:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A05",
      "37F10"
    ],
    "keywords": [
      "adic shift",
      "applications",
      "bernoulli shift",
      "suitably small perturbations",
      "adic integers"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0903.4226K"
    }
  }
}