{
  "id": "2204.10091",
  "version": "v1",
  "published": "2022-04-21T13:28:30.000Z",
  "updated": "2022-04-21T13:28:30.000Z",
  "title": "Frequently hypercyclic random vectors",
  "authors": [
    "Kevin Agneessens"
  ],
  "comment": "20 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "We show that, under suitable conditions, an operator acting like a shift on some sequence space has a frequently hypercyclic random vector whose distribution is strongly mixing for the operator. This result will be applied to chaotic weighted shifts. We also apply it to every operator satisfying the Frequent Hypercyclicity Criterion, recovering a result of Murillo and Peris.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-04-21T13:28:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A16",
      "47A35",
      "47B37",
      "47B38"
    ],
    "keywords": [
      "frequently hypercyclic random vector",
      "frequent hypercyclicity criterion",
      "chaotic weighted shifts",
      "sequence space",
      "suitable conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}