{
  "id": "2401.02273",
  "version": "v1",
  "published": "2024-01-04T13:47:55.000Z",
  "updated": "2024-01-04T13:47:55.000Z",
  "title": "Irreducibility and periodicity in $\\mathbb{Z}^{2}$ symbolic systems",
  "authors": [
    "Michael Hochman"
  ],
  "comment": "36 pages, 4 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "We show that there exist $\\mathbb{Z}^{2}$ symbolic systems that are strongly irreducible and have no (fully) periodic points",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-01-04T13:47:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B05",
      "37B10",
      "37B51"
    ],
    "keywords": [
      "symbolic systems",
      "irreducibility"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}