From Cantor to semi-hyperbolic parameters along external rays

DOI10.1090/tran/7839zbMath1425.37034arXiv1803.03130OpenAlexW2964096633MaRDI QIDQ5243094

Yi-Chiuan Chen, Tomoki Kawahira

Publication date: 14 November 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.03130

zbMATH Keywords

Julia setMandelbrot setsemi-hyperbolic parameter

Mathematics Subject Classification ID

Related Items (2)

On the directional derivative of the Hausdorff dimension of quadratic polynomial Julia sets at -2 ⋮ Simple proofs for the derivative estimates of the holomorphic motion near two boundary points of the Mandelbrot set

Cites Work

• Holomorphic families of injections
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• Real laminations and the topological dynamics of complex polynomials
• On the continuity of Hausdorff dimension of Julia sets and similarity between the Mandelbrot set and Julia sets
• Wandering orbit portraits
• On the dynamics of rational maps
• FAMILY OF INVARIANT CANTOR SETS AS ORBITS OF DIFFERENTIAL EQUATIONS II: JULIA SETS
• On the dynamics of polynomial-like mappings
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