Coefficients of the Riemann map for the Mandelbrot set complement

DOI10.3934/dcds.2023091zbMath1528.30003MaRDI QIDQ6085427

Grzegorz Świątek, Grzegorz Siudem

Publication date: 8 November 2023

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

numerical algorithmRiemann map for the complement of the Mandelbrot set

Mathematics Subject Classification ID

Conformal mappings of special domains (30C20) Numerical methods in conformal mappings (65E10)

Cites Work

• Unnamed Item
• New approximations for the area of the Mandelbrot set
• Theory of iterations of polynomial families in the complex plane
• A remark on Zagier's observation of the Mandelbrot set
• The uniformization of the complement of the Mandelbrot set
• Collet, Eckmann and Hölder
• The Hausdorff dimension of the boundary of the Mandelbrot set and Julia sets
• Hölder continuity of conformal mappings and non-quasiconformal Jordan curves
• The area of the Mandelbrot set
• On coefficient problems for univalent functions and conformal dimension
• Density properties of harmonic measure
• On the coefficients of the mapping to the exterior of the Mandelbrot set

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