LOCAL ANALYTIC CONJUGACY OF SEMI-HYPERBOLIC MAPPINGS IN TWO VARIABLES, IN THE NON-ARCHIMEDEAN SETTING

DOI10.1142/S0129167X12500590zbMath1246.32025arXiv1106.3799OpenAlexW2171047897MaRDI QIDQ2888827

Steven Spallone, Adrian Jenkins

Publication date: 4 June 2012

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.3799

zbMATH Keywords

semi-hyperbolic mappingsanalytically equivalent mappingsformally equivalent mappingslocally invertible analytic mappings

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Dynamical systems over non-Archimedean local ground fields (37P20) Non-Archimedean analysis (32P05)

Related Items (1)

The dynamical Manin-Mumford problem for plane polynomial automorphisms

Cites Work

• Unnamed Item
• Attracting domains for semi-attractive transformations of \(\mathbb{C}^ p\)
• A \(p\)-adic approach to local analytic dynamics: analytic conjugacy of analytic maps tangent to the identity
• Iteration of analytic functions
• Components and Periodic Points in Non-Archimedean Dynamics
• Non archimedean Hopf surfaces
• Further reductions of Poincaré-Dulac normal forms in ${\mathbf{C}}^{n+1}$

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