Wandering domains in quasiregular dynamics

DOI10.1090/S0002-9939-2012-11625-9zbMath1283.37048arXiv1101.1483OpenAlexW1994374660MaRDI QIDQ4911840

Daniel A. Nicks

Publication date: 20 March 2013

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

Full work available at URL: https://arxiv.org/abs/1101.1483

zbMATH Keywords

Julia setFatou setquasiregularwandering domainescaping set

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) Quasiconformal mappings in the complex plane (30C62)

Related Items (2)

Foundations for an iteration theory of entire quasiregular maps ⋮ The Julia set and the fast escaping set of a quasiregular mapping

Cites Work

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• Iteration of quasiregular mappings
• Mini-workshop: The escaping set in transcendental dynamics. Abstracts from the mini-workshop held December 6th -- December 12th, 2009
• Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains
• Quasirational dynamic system
• Quasiregular dynamics on the n-sphere
• The escaping set of a quasiregular mapping
• Iteration of meromorphic functions
• Research Problems in Complex Analysis
• On the zeros and growth of quasiregular mappings

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