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On a question posed by Bergweiler. (Sur une question de Bergweiler.) (English) Zbl 1165.37322
Summary: We prove the density of repelling cycles in the Julia set of transcendental meromorphic functions in one complex variable, without using either Ahlfors’ five islands theorem or Nevanlinna theory.
MSC:
37F25 Renormalization of holomorphic dynamical systems
37F05 Dynamical systems involving relations and correspondences in one complex variable
37F50 Small divisors, rotation domains and linearization in holomorphic dynamics
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References:
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