Buried points in Julia sets
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Publication:3570122
DOI10.1080/10236190903203861zbMath1198.30028arXiv0810.4205OpenAlexW2064955299WikidataQ121960677 ScholiaQ121960677MaRDI QIDQ3570122
John C. Mayer, Clinton P. Curry
Publication date: 24 June 2010
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0810.4205
Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50)
Related Items (3)
On buried points and phase transition points in the Julia sets concerning renormalization transformation ⋮ An Information Fusion approach based on prime numbers coming from RSA algorithm and Fractals for secure coding ⋮ Plane continua and totally disconnected sets of buried points
Cites Work
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- Rational maps with generalized Sierpinski gasket Julia sets
- Diophantine conditions imply critical points on the boundaries of Siegel disks of polynomials
- Topological complexity of Julia sets
- Indecomposable continua and the Julia sets of polynomials. II
- Julia sets of subhyperbolic rational functions
- On the residual Julia sets of rational functions
- Some rational maps whose Julia sets are not locally connected
- Iteration of meromorphic functions
- An inequality for laminations, Julia sets and ‘growing trees’
- Any counterexample to Makienko’s conjecture is an indecomposable continuum
- A GENERALIZED VERSION OF THE MCMULLEN DOMAIN
- Residual Julia Sets of Meromorphic Functions
- Structure of the McMullen domain in the parameter planes for rational maps
- Sierpinski-curve Julia sets and singular perturbations of complex polynomials
- Dynamics in One Complex Variable. (AM-160)
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