Attracting domains for quasi-parabolic analytic transformations of ℂ2

DOI10.1017/S030821051500058XzbMath1406.32007OpenAlexW2332274787MaRDI QIDQ2832283

Feng Rong

Publication date: 10 November 2016

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s030821051500058x

zbMATH Keywords

attracting domainsnon-dynamically separating transformationsquasi-parabolic analytic transformations

Mathematics Subject Classification ID

Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50)

Related Items (2)

A Brief Survey on Local Holomorphic Dynamics in Higher Dimensions ⋮ Attracting domains for semi-attractive and quasi-attractive analytic transformations

Cites Work

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• Dynamics of quasi-parabolic one-resonant biholomorphisms
• Open problems in local discrete holomorphic dynamics
• Quasi-parabolic analytic transformations of \(\mathbf C^n\). Parabolic manifolds
• New invariants and attracting domains for holomorphic maps in \(\mathbb{C}^2\) tangent to the identity
• Quasi-parabolic analytic transformations of \(\mathbb C^n\)
• Degenerate characteristic directions for maps tangent to the identity
• The dynamics near quasi-parabolic fixed points of holomorphic diffeomorphisms in C 2

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