{
  "id": "1012.2593",
  "version": "v1",
  "published": "2010-12-12T22:02:19.000Z",
  "updated": "2010-12-12T22:02:19.000Z",
  "title": "Lyapunov spectrum for exceptional rational maps",
  "authors": [
    "Katrin Gelfert",
    "Feliks Przytycki",
    "Michal Rams",
    "Juan Rivera-Letelier"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We study the dimension spectrum for Lyapunov exponents for rational maps acting on the Riemann sphere and characterize it by means of the Legendre-Fenchel transform of the hidden variational pressure. This pressure is defined by means of the variational principle with respect to non-atomic invariant probability measures and is associated to certain $\\sigma$-finite conformal measures. This allows to extend previous results to exceptional rational maps.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-12-12T22:02:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D25",
      "37C45",
      "28D99",
      "37F10"
    ],
    "keywords": [
      "exceptional rational maps",
      "lyapunov spectrum",
      "non-atomic invariant probability measures",
      "hidden variational pressure",
      "finite conformal measures"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1012.2593G"
    }
  }
}