An application of the degenerate Beltrami equation: quadratic polynomials with a Siegel disk

DOI10.5186/aasfm.2018.4311zbMath1395.30025OpenAlexW2792200798WikidataQ130169179 ScholiaQ130169179MaRDI QIDQ4608967

Liang Shen

Publication date: 29 March 2018

Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)

Full work available at URL: http://www.acadsci.fi/mathematica/Vol43/Shen.html

zbMATH Keywords

Siegel diskmapping of finite distortionBeltrami equation

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Degenerate elliptic equations (35J70) Quasiconformal mappings in the complex plane (30C62)

Cites Work

• Lectures on mappings of finite distortion
• Optimal regularity for planar mappings of finite distortion
• Local connectivity of some Julia sets containing a circle with an irrational rotation
• On the Julia set of a typical quadratic polynomial with a Siegel disk
• Solutions de l'equation de Beltrami avec ||\mu||_\infty = 1
• Complex bounds for renormalization of critical circle maps
• The Beltrami equation
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