Sierpinski carpets as Julia sets for imaginary 3-circle inversions

DOI10.1080/10236190903203911zbMath1202.37068OpenAlexW2146070898WikidataQ122149184 ScholiaQ122149184MaRDI QIDQ3570139

Daniel M. Look

Publication date: 24 June 2010

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190903203911

zbMATH Keywords

topologycomplex dynamicscircle inversion

Mathematics Subject Classification ID

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) Base properties of topological spaces (54D70) Descriptive geometry (51N05)

Related Items (4)

An Infinite Sequence of Bitransitive Sierpiński Carpets for z↦λ(z + 1 z) ⋮ A bounded sequence of bitransitive and capture Sierpiński curve Julia sets for 3-circle inversions ⋮ Area and Hausdorff dimension of Sierpiński carpet Julia sets ⋮ Singular perturbations of complex polynomials

Cites Work

• The dynamics of two-circle and three-circle inversion
• Dynamics in One Complex Variable. (AM-160)
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