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On fundamental loops and the fast escaping set

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Publication:2869827
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DOI10.1112/JLMS/JDT060zbMath1417.37167arXiv1301.2676OpenAlexW2094658868MaRDI QIDQ2869827

David J. Sixsmith

Publication date: 7 January 2014

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

Full work available at URL: https://arxiv.org/abs/1301.2676


zbMATH Keywords

transcendental entire functionFatou componentfundamental loops


Mathematics Subject Classification ID

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)

The size and topology of quasi-Fatou components of quasiregular maps ⋮ Multiply connected wandering domains of meromorphic functions: Internal dynamics and connectivity ⋮ Maximally and non-maximally fast escaping points of transcendental entire functions ⋮ Hollow quasi-Fatou components of quasiregular maps







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