Julia sets that are full of holes

DOI10.1007/BF03038096zbMath1227.37012OpenAlexW2163953141WikidataQ123278214 ScholiaQ123278214MaRDI QIDQ647145

Kimberly A. Roth

Publication date: 1 December 2011

Published in: The Mathematical Intelligencer (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03038096

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)

Related Items (1)

Three-dimensional fractals

Cites Work

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• Whitney cubes, p-capacity, and Minkowski content
• The Hausdorff dimension of the boundary of the Mandelbrot set and Julia sets
• Self-similarity of Siegel disks and Hausdorff dimension of Julia sets
• Complex dynamics
• Local connectivity of some Julia sets containing a circle with an irrational rotation
• Hausdorff dimension and mean porosity
• Not all Julia sets are quasi-self-similar
• Porosity of parabolic julia sets
• Hausdorff Dimension, Its Properties, and Its Surprises

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