{
  "id": "1712.09476",
  "version": "v1",
  "published": "2017-12-27T01:58:04.000Z",
  "updated": "2017-12-27T01:58:04.000Z",
  "title": "Stochastic adding machines based on Bratteli diagrams",
  "authors": [
    "Danilo Antonio Caprio",
    "Ali Messaoudi",
    "Glauco Valle"
  ],
  "comment": "36 pages, 21 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "In this paper, we define some Markov Chains associated to Vershik maps on Bratteli diagrams. We study probabilistic and spectral properties of their transition operators and we prove that the spectra of these operators are connected to Julia sets in higher dimensions. We also study topological properties of these spectra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-27T01:58:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "stochastic adding machines",
      "bratteli diagrams",
      "study topological properties",
      "higher dimensions",
      "julia sets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}