{
  "id": "1301.7316",
  "version": "v1",
  "published": "2013-01-30T18:15:32.000Z",
  "updated": "2013-01-30T18:15:32.000Z",
  "title": "Random product of substitutions with the same incidence matrix",
  "authors": [
    "Pierre Arnoux",
    "Masahiro Mizutani",
    "Tarek Sellami"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "Any infinite sequence of substitutions with the same matrix of the Pisot type defines a symbolic dynamical system which is minimal. We prove that, to any such sequence, we can associate a compact set (Rauzy fractal) by projection of the stepped line associated with an element of the symbolic system on the contracting space of the matrix. We show that this Rauzy fractal depends continuously on the sequence of substitutions, and investigate some of its properties; in some cases, this construction gives a geometric model for the symbolic dynamical system.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-01-30T18:15:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "incidence matrix",
      "random product",
      "substitutions",
      "symbolic dynamical system",
      "pisot type defines"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1301.7316A"
    }
  }
}