Asymptotic behaviors of Hausdorff dimensions of radial Julia sets of exponential and cosine functions

DOI10.1063/5.0220330MaRDI QIDQ6646363

Lingrui Wang, Wei-Yuan Qiu

Publication date: 2 December 2024

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

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

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• Dynamical properties of some classes of entire functions
• Strange objects in the complex plane
• Hausdorff dimension of quasi-circles
• The finer geometry and dynamics of the hyperbolic exponential family
• Non-escaping points of Zorich maps
• Hyperbolic dimension and radial Julia sets of transcendental functions
• Dynamics of exp (z)
• Area and Hausdorff Dimension of Julia Sets of Entire Functions
• The Differentiability of the Hairs of exp(Z)
• Hausdorff dimension of the hairs without endpoints for λ exp z
• ESCAPING POINTS OF EXPONENTIAL MAPS
• Real analyticity of Hausdorff dimension of finer Julia sets of exponential family
• Repellers for real analytic maps
• Topological dynamics of exponential maps on their escaping sets

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