A \(p\)-adic approach to local analytic dynamics: analytic conjugacy of analytic maps tangent to the identity

DOI10.5802/afst.1217zbMath1185.37210arXiv0712.0963OpenAlexW1997734892MaRDI QIDQ2269769

Steven Spallone, Adrian Jenkins

Publication date: 11 March 2010

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.0963

zbMATH Keywords

analytic mapsnon-archimedean fields

Mathematics Subject Classification ID

Arithmetic and non-Archimedean dynamical systems involving analytic and meromorphic maps (37P10)

Related Items

LOCAL ANALYTIC CONJUGACY OF SEMI-HYPERBOLIC MAPPINGS IN TWO VARIABLES, IN THE NON-ARCHIMEDEAN SETTING ⋮ Tropical Hopf manifolds and contracting germs

Cites Work

• Analytic classification of germs of conformal mappings \((C,O) \to (C,O)\) with identity linear part
• Topological classification of germs of conformal mappings with identical linear part
• Iteration of analytic functions
• Hyperbolic maps in p-adic dynamics
• Entire Functions, in the Classification of Differentiable Germs Tangent to the Identity, in One or Two Variables
• Holomorphic germs and the problem of smooth conjugacy in a punctured neighborhood of the origin
• Further reductions of Poincaré-Dulac normal forms in ${\mathbf{C}}^{n+1}$
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