{
  "id": "2107.09059",
  "version": "v1",
  "published": "2021-07-19T14:31:39.000Z",
  "updated": "2021-07-19T14:31:39.000Z",
  "title": "Ergodic dynamical systems over the Cartesian power of the ring of p-adic integers",
  "authors": [
    "Valerii Sopin"
  ],
  "comment": "T-Functions of several variables: New Criteria for Transitivity",
  "journal": "P-Adic Num Ultrametr Anal Appl 6, 333-336 (2014)",
  "doi": "10.1134/S2070046614040086",
  "categories": [
    "math.DS",
    "cs.CR"
  ],
  "abstract": "For any 1-lipschitz ergodic map $F:\\; \\mathbb{Z}^{k}_{p} \\mapsto \\mathbb{Z}^{k}_{p},\\;k>1\\in\\mathbb{N},$ there are 1-lipschitz ergodic map $G:\\; \\mathbb{Z}_{p} \\mapsto \\mathbb{Z}_{p}$ and two bijection $H_k$, $T_{k,\\;P}$ that $$G = H_{k} \\circ T_{k,\\;P}\\circ F\\circ H^{-1}_{k} \\text{ and } F = H^{-1}_{k} \\circ T_{k,\\;P^{-1}}\\circ G\\circ H_{k}.$$",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-07-19T14:31:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37P10",
      "37A05",
      "94A60",
      "G.2.0",
      "E.3"
    ],
    "keywords": [
      "ergodic dynamical systems",
      "cartesian power",
      "p-adic integers",
      "ergodic map"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}