The dynamics near quasi-parabolic fixed points of holomorphic diffeomorphisms in C 2

DOI10.1353/ajm.2004.0015zbMath1063.37040OpenAlexW1972807361MaRDI QIDQ4831788

Filippo Bracci, Laura Molino

Publication date: 3 January 2005

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

Full work available at URL: https://doi.org/10.1353/ajm.2004.0015

zbMATH Keywords

normal formsparabolic curvedynamically separating mapsquasiparabolic point

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50)

Related Items (13)

Fatou Flowers and Parabolic Curves ⋮ A Brief Survey on Local Holomorphic Dynamics in Higher Dimensions ⋮ Stable Manifolds of Two-dimensional Biholomorphisms Asymptotic to Formal Curves ⋮ Dynamics of one-resonant biholomorphisms ⋮ Quasi-parabolic analytic transformations of \(\mathbb C^n\) ⋮ Local dynamics of holomorphic maps in \(\mathbf C^{2}\) with a Jordan fixed point ⋮ Dynamics of quasi-parabolic one-resonant biholomorphisms ⋮ Random local complex dynamics ⋮ Attracting domains for semi-attractive and quasi-attractive analytic transformations ⋮ Open problems in local discrete holomorphic dynamics ⋮ Quasi-parabolic analytic transformations of \(\mathbf C^n\). Parabolic manifolds ⋮ Classification of invariant Fatou components for dissipative Hénon maps ⋮ Attracting domains for quasi-parabolic analytic transformations of ℂ²

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