{
  "id": "2204.07794",
  "version": "v1",
  "published": "2022-04-16T12:59:44.000Z",
  "updated": "2022-04-16T12:59:44.000Z",
  "title": "Maximizing dimension for Bernoulli measures and the Gauss map",
  "authors": [
    "Mark Pollicott"
  ],
  "comment": "7 pages; to appear in Proceedings of the American Mathematical Society",
  "categories": [
    "math.DS"
  ],
  "abstract": "We give a short proof that there exists a countable state Bernoulli measure maximizing the dimension of their images under the continued fraction expansion.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-04-16T12:59:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11K55"
    ],
    "keywords": [
      "gauss map",
      "maximizing dimension",
      "short proof",
      "continued fraction expansion",
      "countable state bernoulli measure maximizing"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}