{
  "id": "1511.03529",
  "version": "v1",
  "published": "2015-11-11T15:19:57.000Z",
  "updated": "2015-11-11T15:19:57.000Z",
  "title": "Dynamics of Chebyshev polynomials on $\\mathbb{Z}_{2}$",
  "authors": [
    "Shilei Fan",
    "Lingmin Liao"
  ],
  "comment": "10 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "The dynamical structure of Chebyshev polynomials on $\\mathbb{Z}_2$, the ring of $2$-adic integers, is fully described by showing all its minimal subsystems and their attracting basins.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-11-11T15:19:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37P05",
      "11S82",
      "37B05"
    ],
    "keywords": [
      "chebyshev polynomials",
      "minimal subsystems",
      "adic integers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151103529F"
    }
  }
}