Dynamics of regularly ramified rational maps. I: Julia sets of maps in one-parameter families
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Publication:1661110
DOI10.3934/dcds.2018139zbMath1400.37051OpenAlexW2800774290MaRDI QIDQ1661110
Jun Hu, Oleg Muzician, Ying Qing Xiao
Publication date: 16 August 2018
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2018139
Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)
Related Items (4)
Julia sets of cubic rational maps with escaping critical points ⋮ Cubic rational maps with escaping critical points. I: Julia set dichotomy in the case of an attracting fixed point ⋮ Totally ramified rational maps ⋮ No Herman rings for regularly ramified rational maps
Cites Work
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- The rational maps \(F_\lambda(z)= z^m+ \lambda/z^d\) have no Herman rings
- Rational maps with Fatou components of arbitrary connectivity number
- On Rational Maps with Two Critical Points
- Julia sets of subhyperbolic rational functions
- On the dynamics of generalized McMullen maps
- Topological characterization of the Sierpiński curve
- The escape trichotomy for singularly perturbed rational maps
- Singular perturbations of the unicritical polynomials with two parameters
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