Asymptotically conformal similarity between Julia and Mandelbrot sets

DOI10.1016/j.crma.2011.01.010zbMath1216.37016OpenAlexW2074984158WikidataQ121300161 ScholiaQ121300161MaRDI QIDQ2431133

Jacek Graczyk, Grzegorz Świątek

Publication date: 11 April 2011

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2011.01.010

zbMATH Keywords

Julia setharmonic measureLyapunov exponentMandelbrot set

Mathematics Subject Classification ID

Related Items (2)

Fine structure of connectedness loci ⋮ La mesure harmonique de l'ensemble de Mandelbrot contient celles des ensembles de Julia

Cites Work

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• On the boundary continuity of conformal maps
• Similarity between the Mandelbrot set and Julia sets
• Collet, Eckmann and Hölder
• The Hausdorff dimension of the boundary of the Mandelbrot set and Julia sets
• Wild Cantor attractors exist
• On the continuity of Hausdorff dimension of Julia sets and similarity between the Mandelbrot set and Julia sets
• On the dynamics of polynomial-like mappings
• The Real Fatou Conjecture
• Julia and John
• Harmonic measure and expansion on the boundary of the connectedness locus.

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