{
  "id": "2308.09117",
  "version": "v1",
  "published": "2023-08-17T17:55:15.000Z",
  "updated": "2023-08-17T17:55:15.000Z",
  "title": "Distributional Chaos in the Baire Space",
  "authors": [
    "Jasmin Mohn",
    "Brian E. Raines"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "In this paper we consider the question of distributional chaos on non-compact metric dynamical systems. We focus on a shift space over a countable alphabet, the Baire Space. We prove that on the Baire Space subshifts of finite type exhibit dense distributional chaos and subshifts of bounded type that are perfect and have a dense set of periodic points also have distributional chaos.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-08-17T17:55:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B10",
      "37B20",
      "37B99"
    ],
    "keywords": [
      "dense distributional chaos",
      "non-compact metric dynamical systems",
      "baire space subshifts",
      "periodic points",
      "finite type"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}