Non-linearizability of power series over complete non-Archimedean fields of positive characteristic

DOI10.1016/j.aim.2023.108913OpenAlexW4319776744MaRDI QIDQ2687343

Rufei Ren

Publication date: 2 March 2023

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.11601

zbMATH Keywords

families of polynomialsnon-linearizability, non-Archimedean field

Mathematics Subject Classification ID

Non-Archimedean dynamical systems (11S82) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Arithmetic and non-Archimedean dynamical systems involving analytic and meromorphic maps (37P10)

Cites Work

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• Geometry of \(p\)-adic Siegel discs
• Iteration of analytic functions
• Closure of Periodic Points Over a Non-Archimedean Field
• Divergence and convergence of conjugacies in non-Archimedean dynamics
• Fractions rationnelles hyperboliques p-adiques
• On Siegel's linearization theorem for fields of prime characteristic
• Reduction, dynamics, and Julia sets of rational functions

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