{
  "id": "2003.01311",
  "version": "v1",
  "published": "2020-03-03T03:19:50.000Z",
  "updated": "2020-03-03T03:19:50.000Z",
  "title": "Mean equicontinuity and mean sensitivity on cellular automata",
  "authors": [
    "Luguis de los Santos Baños",
    "Felipe García-Ramos"
  ],
  "categories": [
    "math.DS",
    "nlin.CG"
  ],
  "abstract": "We show that a cellular automaton (or shift-endomorphism) on a transitive subshift is either almost equicontinuous or sensitive. On the other hand, we construct a cellular automaton on a full-shift (hence a transitive subshift) that is neither almost mean equicontinuous nor mean sensitive.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-03T03:19:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B05",
      "37B10",
      "37B15"
    ],
    "keywords": [
      "cellular automaton",
      "mean sensitivity",
      "mean equicontinuity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}