Dynamical sets whose union with infinity is connected

DOI10.1017/etds.2018.54zbMath1440.37055arXiv1712.08375OpenAlexW2962874662WikidataQ129410481 ScholiaQ129410481MaRDI QIDQ5214806

David J. Sixsmith

Publication date: 5 February 2020

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.08375

zbMATH Keywords

escaping setEremenko-Lyubich classtranscendental entire functions

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Combinatorics and topology in relation with holomorphic dynamical systems (37F20)

Related Items (4)

Non-escaping endpoints do not explode ⋮ Orbifold expansion and entire functions with bounded Fatou components ⋮ On the connectivity of the escaping set in the punctured plane ⋮ On slow escaping and non-escaping points of quasimeromorphic mappings

Uses Software

• DLMF

Cites Work

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• Iteration of meromorphic functions
• The Hausdorff Dimension of Julia Sets of Meromorphic Functions
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• Fast escaping points of entire functions
• Maximally and non-maximally fast escaping points of transcendental entire functions
• Connectedness properties of the set where the iterates of an entire function are bounded
• On the set where the iterates of an entire function are neither escaping nor bounded

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