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Escape quartered theorem and the connectivity of the Julia sets of a family of rational maps

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Publication:2000204
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DOI10.3934/dcds.2019211zbMath1466.37038OpenAlexW2961554068WikidataQ127746013 ScholiaQ127746013MaRDI QIDQ2000204

Fei Yang, Song Zhang, Youming Wang, Liang-Wen Liao

Publication date: 28 June 2019

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2019211

zbMATH Keywords

singular perturbationJulia setsHausdorff dimensionconnectivityCantor circles


Mathematics Subject Classification ID

Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Combinatorics and topology in relation with holomorphic dynamical systems (37F20) Bifurcations; parameter spaces in holomorphic dynamics; the Mandelbrot and Multibrot sets (37F46)


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Quasisymmetric uniformization and Hausdorff dimensions of Cantor circle Julia sets



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