A Brief Survey on Local Holomorphic Dynamics in Higher Dimensions
From MaRDI portal
Publication:3448918
DOI10.1007/978-4-431-55744-9_22zbMath1326.32011arXiv1501.06416OpenAlexW1562869433MaRDI QIDQ3448918
Publication date: 27 October 2015
Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1501.06416
Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces (32-02) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Dynamical systems over complex numbers (37F99)
Related Items (3)
A note on attracting domains for holomorphic maps in ℂ2 tangent to the identity ⋮ Attracting domains for semi-attractive and quasi-attractive analytic transformations ⋮ A local study near the Wolff point on the ball
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Dynamics of quasi-parabolic one-resonant biholomorphisms
- Open problems in local discrete holomorphic dynamics
- Fatou-Bieberbach domains as basins of attraction of automorphisms tangent to the identity
- Basins of attraction in quadratic dynamical systems with a Jordan fixed point
- Quasi-parabolic analytic transformations of \(\mathbf C^n\). Parabolic manifolds
- Poincaré-Bendixson theorems for meromorphic connections and holomorphic homogeneous vector fields
- On invariant manifolds of complex analytic mappings near fixed points
- Local structure of analytic transformations of two complex variables. I
- Groups of germs of analytic diffeomorphisms in \(({\mathbb C}^2,0)\)
- The residual index and the dynamics of holomorphic maps tangent to the identity
- Index theorems for holomorphic self-maps
- Attracting domains for semi-attractive transformations of \(\mathbb{C}^ p\)
- Dynamics of one-resonant biholomorphisms
- Analytic transformations of \((\mathbb{C}^p,0)\) tangent to the identity
- New invariants and attracting domains for holomorphic maps in \(\mathbb{C}^2\) tangent to the identity
- Linearization of holomorphic germs with quasi-Brjuno fixed points
- Quasi-parabolic analytic transformations of \(\mathbb C^n\)
- Local dynamics of holomorphic maps in \(\mathbf C^{2}\) with a Jordan fixed point
- Dynamics of two-resonant biholomorphisms
- Holomorphic dynamics near germs of singular curves
- Iteration of analytic functions
- Attracting domains for quasi-parabolic analytic transformations of ℂ2
- Degenerate characteristic directions for maps tangent to the identity
- Dynamics of Multi-Resonant Biholomorphisms
- On \'Ecalle-Hakim's theorems in holomorphic dynamics
- Parabolic manifolds for semi-attractive analytic transformations of 𝐂ⁿ
- Linearization of holomorphic germs with quasi-parabolic fixed points
- The dynamics of maps tangent to the identity and with nonvanishing index
- Diagonalization of nondiagonalizable discrete holomorphic dynamical systems
- The dynamics near quasi-parabolic fixed points of holomorphic diffeomorphisms in C 2
- Discrete holomorphic local dynamical systems
- Dynamics in One Complex Variable. (AM-160)
- Parabolic manifolds for semi-attractive holomorphic germs
This page was built for publication: A Brief Survey on Local Holomorphic Dynamics in Higher Dimensions
