{
  "id": "2301.04738",
  "version": "v1",
  "published": "2023-01-11T22:04:04.000Z",
  "updated": "2023-01-11T22:04:04.000Z",
  "title": "Upper bounds for the Hausdorff dimension of Weierstrass curves",
  "authors": [
    "Ted Alexander",
    "Tommy Murphy"
  ],
  "journal": "The PUMP Journal of Undergraduate Research, (2022) 5, 199-205",
  "categories": [
    "math.DS"
  ],
  "abstract": "We produce an upper bound for the Hausdorff dimension of the graph of a Weierstrass-type function. Whilst strictly weaker than existing results, it has the advantage of being directly computable from the theory of hyperbolic iterated function systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-01-11T22:04:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C40"
    ],
    "keywords": [
      "upper bound",
      "hausdorff dimension",
      "weierstrass curves",
      "hyperbolic iterated function systems",
      "whilst strictly weaker"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}