On the distribution of Julia sets of holomorphic maps

DOI10.1007/s10473-020-0401-5zbMath1499.37083OpenAlexW3034129342WikidataQ122723504 ScholiaQ122723504MaRDI QIDQ2153538

Chun-Lei Cao, Yue Fei Wang

Publication date: 5 July 2022

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10473-020-0401-5

zbMATH Keywords

Julia setFatou setfree Jordan arctranscendental analytic map

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Cites Work

• Escaping points of meromorphic functions with a finite number of poles
• Iterates of meromorphic functions. IV: Critically finite functions
• Repulsive fixpoints of entire functions
• Wandering Domains in the Iteration of Entire Functions
• Iterates of Meromorphic Functions II: Examples of Wandering Domains
• Iterates of meromorphic functions: I
• Wandering domains for maps of the punctured plane
• Dynamics of meromorphic maps : maps with polynomial schwarzian derivative
• Iterates of meromorphic functions III: Preperiodic domains
• The domains of normality of an entire function
• Iteration of meromorphic functions
• Complex Dynamics and Renormalization (AM-135)
• Sets of Non-Normality in Iteration Theory
• On the Iteration of analytic functions .
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