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Convergence of the transfer operator for rational maps

  • NICOLAI HAYDN (a1)
    • Published online: 01 June 1999
Abstract

We prove that the transfer operator for a general class of rational maps converges exponentially fast in the supremum norm and in Hölder norms, for small enough Hölder exponents, to its principal eigendirection.

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Ergodic Theory and Dynamical Systems
  • ISSN: 0143-3857
  • EISSN: 1469-4417
  • URL: /core/journals/ergodic-theory-and-dynamical-systems
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