Hausdorff Convergence and the Limit Shape of the Unicorns

DOI10.1080/10586458.1997.10504601zbMath0885.30023OpenAlexW1992980668MaRDI QIDQ4369743

Hartje Kriete, Bernd Krauskopf

Publication date: 12 January 1998

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.em/1047649999

zbMATH Keywords

iterationuniform convergenceJulia setentire functionsFatou setmulticornshyperbolic components

Mathematics Subject Classification ID

Related Items (1)

Dynamical convergence of polynomials to products of power maps and the exponential

Cites Work

• Dynamical properties of some classes of entire functions
• Hausdorff convergence of Julia sets
• Complex dynamics
• Symmetries of fractals revisited
• Connectedness of the tricorn
• On the structure of the Mandelbar set
• Towers of exponents and other composite maps
• Iteration of meromorphic functions
• CONVERGENCE OF JULIA SETS IN THE APPROXIMATION OF λe^z BY λ[1+(z/d)^d]
• Kernel convergence of hyperbolic components
• LIMITING DYNAMICS FOR THE COMPLEX STANDARD FAMILY
• A note on non-converging Julia sets
• Local uniform convergence and convergence of Julia sets
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