Quasi-parabolic analytic transformations of \(\mathbf C^n\). Parabolic manifolds

DOI10.1007/s11512-009-0107-3zbMath1221.37097OpenAlexW2132991699MaRDI QIDQ711481

Feng Rong

Publication date: 26 October 2010

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11512-009-0107-3

zbMATH Keywords

invariant manifolds

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (7)

Fatou Flowers and Parabolic Curves ⋮ A Brief Survey on Local Holomorphic Dynamics in Higher Dimensions ⋮ Local dynamics of holomorphic maps in \(\mathbf C^{2}\) with a Jordan fixed point ⋮ Dynamics of quasi-parabolic one-resonant biholomorphisms ⋮ Attracting domains for semi-attractive and quasi-attractive analytic transformations ⋮ Parabolic manifolds for semi-attractive analytic transformations of 𝐂ⁿ ⋮ Attracting domains for quasi-parabolic analytic transformations of ℂ²

Cites Work

• Analytic transformations of \((\mathbb{C}^p,0)\) tangent to the identity
• Quasi-parabolic analytic transformations of \(\mathbb C^n\)
• Linearization of holomorphic germs with quasi-parabolic fixed points
• The dynamics near quasi-parabolic fixed points of holomorphic diffeomorphisms in C 2

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