Iteration of quasiregular tangent functions in three dimensions

DOI10.1090/S1088-4173-2012-00236-6zbMath1244.37029arXiv1112.3589MaRDI QIDQ2888647

Alastair Fletcher, Daniel A. Nicks

Publication date: 1 June 2012

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/1112.3589

zbMATH Keywords

dynamicsJulia setquasiregular mapZorich map

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 (6)

Normal families and quasiregular mappings ⋮ Distortion of quasiregular mappings and equivalent norms on Lipschitz-type spaces ⋮ The Julia set and the fast escaping set of a quasiregular mapping ⋮ On the iteration of quasimeromorphic mappings ⋮ Chaotic dynamics of a quasiregular sine mapping ⋮ On quasiregular linearizers

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