A bounded sequence of bitransitive and capture Sierpiński curve Julia sets for 3-circle inversions

DOI10.4064/fm166-4-2023OpenAlexW4382406288WikidataQ120784095 ScholiaQ120784095MaRDI QIDQ6144986

Daniel M. Look

Publication date: 30 January 2024

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/fm166-4-2023

zbMATH Keywords

Julia settopologycomplex dynamicsSierpiński curve

Mathematics Subject Classification ID

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)

Cites Work

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• A partial description of parameter space of rational maps of degree two. I
• Buried Sierpinski curve Julia sets
• Topological characterization of the Sierpiński curve
• LOCALLY SIERPINSKI JULIA SETS OF WEIERSTRASS ELLIPTIC ℘ FUNCTIONS
• Sierpinski carpets as Julia sets for imaginary 3-circle inversions
• An Infinite Sequence of Bitransitive Sierpiński Carpets for z↦λ(z + 1 z)
• Rational maps whose Fatou components are Jordan domains
• Sierpinski curve Julia sets for quadratic rational maps
• The dynamics of two-circle and three-circle inversion
• Sierpinski-curve Julia sets and singular perturbations of complex polynomials
• Dynamics in One Complex Variable. (AM-160)

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