{
  "id": "2104.01044",
  "version": "v1",
  "published": "2021-04-02T13:31:33.000Z",
  "updated": "2021-04-02T13:31:33.000Z",
  "title": "Multifractal analysis of geodesic flows on surfaces without focal points",
  "authors": [
    "Kiho Park",
    "Tianyu Wang"
  ],
  "comment": "Comments welcome",
  "categories": [
    "math.DS"
  ],
  "abstract": "We study multifractal spectra of the geodesic flows on rank 1 surfaces without focal points. We compute the entropy of the level sets for the Lyapunov exponents and estimate its Hausdorff dimension from below. In doing so, we employ and generalize results of Burns and Gelfert.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-04-02T13:31:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "geodesic flows",
      "focal points",
      "multifractal analysis",
      "study multifractal spectra",
      "level sets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}