{
  "id": "2007.15875",
  "version": "v1",
  "published": "2020-07-31T07:13:24.000Z",
  "updated": "2020-07-31T07:13:24.000Z",
  "title": "Thermodynamic Formalism and Geometric Applications for Transcendental Meromorphic and Entire Functions",
  "authors": [
    "Volker Mayer",
    "Mariusz Urbanski"
  ],
  "comment": "36 pages",
  "categories": [
    "math.DS",
    "math.CV"
  ],
  "abstract": "This text provides an overview of the (geometric) thermodynamic formalism for transcendental meromorphic and entire functions with particular emphasis on geometric/fractal aspects such as Bowen's Formula expressing the hyperbolic dimension as a unique zero of a pressure function and the behavior of the latter when the transcendental functions vary in an analytic family.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-31T07:13:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30D05",
      "37F10"
    ],
    "keywords": [
      "transcendental meromorphic",
      "thermodynamic formalism",
      "entire functions",
      "geometric applications",
      "transcendental functions vary"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}