{
  "id": "2306.03047",
  "version": "v1",
  "published": "2023-06-05T17:19:03.000Z",
  "updated": "2023-06-05T17:19:03.000Z",
  "title": "A packing exponent formula for the upper box dimension of certain self-projective fractals",
  "authors": [
    "Benedict Sewell"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "In this note, we prove a packing exponent formula for the upper box-counting dimension of attractors of certain projective iterated function systems. In particular, this shows that the upper box-counting dimension of the Rauzy gasket lies between 1.6910 and 1.7415, and partially affirms a conjecture of De Leo.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-06-05T17:19:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "28A80",
      "28A78"
    ],
    "keywords": [
      "packing exponent formula",
      "upper box dimension",
      "self-projective fractals",
      "upper box-counting dimension",
      "rauzy gasket lies"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}