Topological properties of certain iterated entire maps

DOI10.1007/s13324-024-00879-1MaRDI QIDQ6200407

Huayu Zhao, Yue Fei Wang, Chun-Lei Cao

Publication date: 22 March 2024

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Julia setFatou setuniform perfectnessentire mapsimply connectivity

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Meromorphic functions of one complex variable (general theory) (30D30)

Cites Work

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• Uniformly perfect sets and the Poincaré metric
• Multiply connected wandering domains of entire functions
• Wandering Domains in the Iteration of Entire Functions
• Some entire functions with multiply-connected wandering domains
• The 3x + 1 Problem and Its Generalizations
• Julia Sets are Uniformly Perfect
• The Poincaré Metric of Plane Domains
• Julia sets of rational functions are uniformly perfect
• Iteration of meromorphic functions
• On uniformly perfect boundary of stable domains in iteration of meromorphic functions II
• The 3n+l-Problem and Holomorphic Dynamics
• ON THE UNIFORM PERFECTNESS OF THE BOUNDARY OF MULTIPLY CONNECTED WANDERING DOMAINS
• Almost all orbits of the Collatz map attain almost bounded values

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