Dynamics of transcendental entire maps on Berkovich affine line

DOI10.1007/s10884-012-9281-2zbMath1283.37077OpenAlexW2087214600MaRDI QIDQ1949250

Shilei Fan, Yue Fei Wang

Publication date: 6 May 2013

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-012-9281-2

zbMATH Keywords

dynamical systemJulia setFatou setnon-Archimedean fieldBerkovich affine linetranscendental entire map

Mathematics Subject Classification ID

Entire and meromorphic functions of one complex variable, and related topics (30D99) Non-Archimedean dynamical systems (11S82) Dynamical systems on Berkovich spaces (37P50) Non-Archimedean Fatou and Julia sets (37P40)

Related Items (1)

Oscillating wandering domains for p$p$‐adic transcendental entire maps

Cites Work

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• The valuative tree
• Periodic points of rational functions in the \(p\)-adic hyperbolic space
• A non-Archimedean Montel’s theorem
• On the Julia and Fatou sets of ultrametric entire functions

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