On quasi-discs and Fatou components of a family of rational maps concerning renormalization transformation
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Publication:2000301
DOI10.1016/j.chaos.2018.06.026zbMath1415.37067OpenAlexW2864081866MaRDI QIDQ2000301
Publication date: 28 June 2019
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2018.06.026
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)
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Cites Work
- Unnamed Item
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- The Hausdorff dimension of the Julia sets concerning renormalization transformation
- Dynamics of McMullen maps
- The boundary of bounded polynomial Fatou components
- Julia sets and complex singularities in hierarchical Ising models
- Misiurewicz points on the Mandelbrot-like set concerning renormalization transformation
- Julia sets and complex singularities in diamond-like hierarchical Potts models
- Feigenbaum Julia sets of singularities of free energy
- Stable Orbits and Bifurcation of Maps of the Interval
- On a theorem of Fatou
- Julia and John
- On the preimages of parabolic periodic points
- Iterations of rational functions: which hyperbolic components contain polynomials?
- Julia Sets and Complex Singularities of Free Energies
- Rational maps whose Fatou components are Jordan domains
- Jordan domain and Fatou set concerning diamond-like hierarchical Potts models
- Dynamics in One Complex Variable. (AM-160)
- Statistical Theory of Equations of State and Phase Transitions. I. Theory of Condensation
- Statistical Theory of Equations of State and Phase Transitions. II. Lattice Gas and Ising Model
- On connectivity of Julia sets of Yang-Lee zeros
- On the distribution and gap structure of Lee-Yang zeros for the Ising model: Periodic and aperiodic couplings