{
  "id": "1904.08416",
  "version": "v1",
  "published": "2019-04-17T10:37:24.000Z",
  "updated": "2019-04-17T10:37:24.000Z",
  "title": "Hausdorff and packing dimension of Diophantine sets",
  "authors": [
    "Antoine Marnat"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1510.06334",
  "categories": [
    "math.NT"
  ],
  "abstract": "Using the variational principle in parametric geometry of numbers, we compute the Hausdorff and packing dimension of Diophantine sets related to exponents of Diophantine approximation, and their intersections. In particular, we extend a result of Jarn\\'ik and Besicovitch to intermediate exponents.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-04-17T10:37:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "diophantine sets",
      "packing dimension",
      "diophantine approximation",
      "variational principle",
      "intermediate exponents"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}