{
  "id": "math/0501295",
  "version": "v1",
  "published": "2005-01-19T19:28:59.000Z",
  "updated": "2005-01-19T19:28:59.000Z",
  "title": "Slowly divergent geodesics in moduli space",
  "authors": [
    "Y. Cheung"
  ],
  "comment": "26 pages, no figures",
  "journal": "Conformal Geometry & Dynamics. 8 (2004) 167-189",
  "categories": [
    "math.DS",
    "math.NT"
  ],
  "abstract": "Slowly divergent geodesics in the moduli space of Riemann surfaces of genus at least 2 are constructed via cyclic branched covers of the torus. Nonergodic examples (i.e. geodesics whose defining quadratic differential has nonergodic vertical foliation) diverging to infinity at sublinear rates are constructed using a Diophantine condition. Examples with an arbitrarily slow prescribed growth rate are also exhibited.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-01-19T19:28:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D40",
      "11P21"
    ],
    "keywords": [
      "slowly divergent geodesics",
      "moduli space",
      "arbitrarily slow prescribed growth rate",
      "diophantine condition",
      "sublinear rates"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Conform. Geom. Dyn."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......1295C"
    }
  }
}