On the directional derivative of the Hausdorff dimension of quadratic polynomial Julia sets at -2

DOI10.1016/j.aim.2023.109297arXiv2301.04519OpenAlexW2946332957MaRDI QIDQ6058882

Ludwik Jaksztas

Publication date: 1 November 2023

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

Full work available at URL: https://arxiv.org/abs/2301.04519

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) Holomorphic families of dynamical systems; holomorphic motions; semigroups of holomorphic maps (37F44)

Cites Work

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• From Cantor to semi-hyperbolic parameters along external rays
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• Lower bounds on the Hausdorff dimension of some Julia sets

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