{
  "id": "math/0312136",
  "version": "v1",
  "published": "2003-12-06T13:11:07.000Z",
  "updated": "2003-12-06T13:11:07.000Z",
  "title": "Cellular automata and Lyapunov exponents",
  "authors": [
    "Pierre Tisseur"
  ],
  "journal": "Nonlinearity 13 (2000) 1547-1560",
  "doi": "10.1088/0951-7715/13/5/308",
  "categories": [
    "math.DS",
    "math-ph",
    "math.MP",
    "nlin.CG"
  ],
  "abstract": "In this article we give a new definition of some analog of Lyapunov exponents for cellular automata . Then for a shift ergodic and cellular automaton invariant probability measure we establish an inequality between the entropy of the automaton, the entropy of the shift and the Lyapunov exponent.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-12-06T13:11:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B15",
      "37A35",
      "37A25"
    ],
    "keywords": [
      "lyapunov exponent",
      "cellular automaton invariant probability measure",
      "shift ergodic",
      "inequality",
      "definition"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}