Dynamical approximation and kernels of non-escaping hyperbolic components

DOI10.1017/S0143385711000162zbMath1337.37031arXiv0910.0743MaRDI QIDQ3166359

Helena Mihaljević-Brandt

Publication date: 11 October 2012

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

Full work available at URL: https://arxiv.org/abs/0910.0743

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) Approximation in the complex plane (30E10) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Cites Work

• Unnamed Item
• Dynamical properties of some classes of entire functions
• Upper bound for the size of quadratic Siegel disks
• On the dynamics of rational maps
• Complete interpolating sequences, the discrete Muckenhoupt condition, and conformal mapping
• A finiteness theorem for a dynamical class of entire functions
• Iteration of meromorphic functions
• Kernel convergence of hyperbolic components
• Dynamical convergence of polynomials to the exponential
• Local uniform convergence and convergence of Julia sets
• Dynamics in One Complex Variable. (AM-160)

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