{
  "id": "math/0603326",
  "version": "v4",
  "published": "2006-03-14T10:05:47.000Z",
  "updated": "2017-02-14T17:11:24.000Z",
  "title": "Right-Permutative Cellular Automata on Topological Markov Chains",
  "authors": [
    "Marcelo Sobottka"
  ],
  "comment": "16 pages, 2 figure. A new version with improved redaction of Theorem 6.3(i)) to clearify its consequences",
  "journal": "DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, Volume 20, Number 4, April 2008, pp. 1095--1109",
  "doi": "10.3934/dcds.2008.20.1095",
  "categories": [
    "math.DS",
    "math.PR"
  ],
  "abstract": "In this paper we consider cellular automata $(\\mathfrak{G},\\Phi)$ with algebraic local rules and such that $\\mathfrak{G}$ is a topological Markov chain which has a structure compatible to this local rule. We characterize such cellular automata and study the convergence of the Ces\\`aro mean distribution of the iterates of any probability measure with complete connections and summable decay.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2007-06-08T19:56:33.000Z",
      "doi": null
    },
    {
      "version": "v4",
      "updated": "2017-02-14T17:11:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B15",
      "54H20"
    ],
    "keywords": [
      "topological markov chain",
      "right-permutative cellular automata",
      "algebraic local rules",
      "mean distribution",
      "probability measure"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......3326S"
    }
  }
}