{
  "id": "1505.05178",
  "version": "v1",
  "published": "2015-05-19T20:35:01.000Z",
  "updated": "2015-05-19T20:35:01.000Z",
  "title": "On the Lagrange and Markov Dynamical Spectra for Geodesic Flows in Surfaces with Negative Curvature",
  "authors": [
    "Sergio Augusto Romaña Ibarra",
    "Carlos Gustavo T. de A. Moreira"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We consider the Lagrange and the Markov dynamical spectra associated to a geodesic flow on a surface of negative curvature. We show that for a large set of real functions on the unit tangent bundle and for typical metrics with negative curvature and finite volume, both the Lagrange and the Markov dynamical spectra have non-empty interior.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-05-19T20:35:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "negative curvature",
      "geodesic flow",
      "unit tangent bundle",
      "large set",
      "non-empty interior"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150505178R"
    }
  }
}