Quasiregular mappings of polynomial type in ℝ²

DOI10.1090/S1088-4173-2010-00219-5zbMath1233.30013arXiv1006.0622MaRDI QIDQ2997813

Alastair Fletcher, Dan Goodman

Publication date: 9 May 2011

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.0622

zbMATH Keywords

connectednessJulia setparameter spaceMandelbrot setquasiregular mappingsescaping setquasiregular dynamicscomposition of quadratic polynomials and quasiconformal mappingsconstant complex dilatation

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (2)

Fixed curves near fixed points ⋮ Dynamics of quasiregular mappings with constant complex dilatation

Cites Work

• Karpińska's paradox in dimension 3
• Dynamics of a higher dimensional analog of the trigonometric functions
• Quasiregular dynamics on the n-sphere
• The escaping set of a quasiregular mapping
• Local dynamics of uniformly quasiregular mappings
• Dynamics in One Complex Variable. (AM-160)
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