{
  "id": "2307.02562",
  "version": "v1",
  "published": "2023-07-05T18:03:33.000Z",
  "updated": "2023-07-05T18:03:33.000Z",
  "title": "On the completely irregular set for systems with the shadowing property",
  "authors": [
    "Maria Carvalho",
    "Vinícius Coelho",
    "Luciana Salgado"
  ],
  "comment": "31 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove that the completely irregular set is Baire generic for every transitive continuous map, acting on a compact metric space without isolated points, which is not 31uniquely ergodic and satisfies the shadowing property.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-07-05T18:03:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A30",
      "37C10",
      "37C40",
      "37D20"
    ],
    "keywords": [
      "irregular set",
      "shadowing property",
      "compact metric space",
      "baire generic",
      "transitive continuous map"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}