The size and topology of quasi-Fatou components of quasiregular maps
DOI10.1090/proc/13253zbMath1369.37057arXiv1601.03308OpenAlexW2964117359MaRDI QIDQ5298197
Daniel A. Nicks, David J. Sixsmith
Publication date: 14 December 2016
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1601.03308
Julia settranscendental entire functionFatou setquasiregular maptranscendental typequasi-Fatou component
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 (4)
Cites Work
- The fast escaping set for quasiregular mappings
- Foundations for an iteration theory of entire quasiregular maps
- Multiply connected domains of normality in iteration theory
- Quasiconformal metric and its application to quasiregular mappings
- On the number of omitted values of entire quasiregular mappings
- Conformal geometry and quasiregular mappings
- Quasiconformal maps in metric spaces with controlled geometry
- On multiply-connected Fatou components in iteration of meromorphic functions
- On fundamental loops and the fast escaping set
- Multiply connected wandering domains of entire functions
- Wandering Domains in the Iteration of Entire Functions
- Iteration of meromorphic functions
- Fatou–Julia theory for non-uniformly quasiregular maps
- Hollow quasi-Fatou components of quasiregular maps
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