Density of hyperbolicity for rational maps with Cantor Julia sets

DOI10.1017/S0143385711000356zbMath1267.37045OpenAlexW2160435114WikidataQ122068102 ScholiaQ122068102MaRDI QIDQ4911045

Yongcheng Yin, Yu Zhai, Wenjuan Peng

Publication date: 13 March 2013

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385711000356

zbMATH Keywords

hyperbolicityrational mapquasiconformal surgeryCantor Julia set

Mathematics Subject Classification ID

Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (1)

On the dynamics of a family of entire functions

Cites Work

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• Rigidity for rational maps with Cantor Julia sets
• Local connectivity and quasi-conformal rigidity of non-renormalizable polynomials
• On the dynamics of polynomial-like mappings
• On the quasiconformal surgery of rational functions
• No invariant line fields on Cantor Julia sets

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