On the derivative of the Hausdorff dimension of the Julia sets for \(z^2 + c, c \in \mathbb{R}\) at parabolic parameters with two petals

DOI10.1016/j.aim.2020.106981zbMath1437.37056OpenAlexW3000907389WikidataQ121705778 ScholiaQ121705778MaRDI QIDQ2295463

Ludwik Jaksztas, Michel Zinsmeister

Publication date: 13 February 2020

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2020.106981

zbMATH Keywords

Julia setsHausdorff dimensionquadratic family

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) Bifurcations; parameter spaces in holomorphic dynamics; the Mandelbrot and Multibrot sets (37F46)

Related Items (2)

Lower bounds on the Hausdorff dimension of some Julia sets ⋮ Hausdorff dimension of Julia sets in the logistic family

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