Lacunary series, resonances, and automorphisms of \({\mathbb{C}^2}\) with a round Siegel domain

DOI10.1215/21562261-10428513zbMath1517.32036arXiv2002.11081OpenAlexW4322707831MaRDI QIDQ6046572

Davoud Cheraghi, François Berteloot

Publication date: 11 May 2023

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

Full work available at URL: https://arxiv.org/abs/2002.11081

zbMATH Keywords

Siegel domainstranscendental Henon mapsautomorphism of complex domains

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Complex Lie groups, group actions on complex spaces (32M05) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50)

Cites Work

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• Siegel disks with smooth boundaries
• Diophantine approximation
• Complex Hénon mappings in \({\mathbb{C}}^ 2\) and Fatou-Bieberbach domains
• Self-similarity of Siegel disks and Hausdorff dimension of Julia sets
• Complex dynamics
• Fatou components for conservative holomorphic surface automorphisms
• On the Julia set of a typical quadratic polynomial with a Siegel disk
• Iteration of analytic functions
• Dynamics in One Complex Variable. (AM-160)
• Lacunary Taylor and Fourier series
• Integral Functions with Gap Power Series

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