Complete invariance and compactness of the filled Julia sets of polynomial maps in \( \mathbb {C}^N \)
DOI10.1007/s13398-016-0342-yzbMath1377.32012OpenAlexW2525704567WikidataQ59610800 ScholiaQ59610800MaRDI QIDQ1674119
Publication date: 1 November 2017
Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13398-016-0342-y
Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Dynamical analytic multifunctions
- Function theory in the unit ball of \({\mathbb{C}}^ n\)
- Hénon mappings in the complex domain. I: The global topology of dynamical space
- Composite Julia sets generated by infinite polynomial arrays.
- ŁS condition for filled Julia sets in \(\mathbb {C}\)
- Hölder exponents of the Green functions of planar polynomial Julia sets
- On the Łojasiewicz exponent at infinity of polynomial mappings
- Iteration of Analytic Multifunctions
- Some Geometric Properties of Julia Sets and filled-in Julia Sets of Polynomials
- On the growth of proper polynomial mappings
- Dynamical properties of plane polynomial automorphisms
- A remark on the shape of quadratic Julia sets
- Hölder continuity property of filled-in Julia sets in $\mathbb \{C\}^n$
- On the Łojasiewicz exponent at infinity for polynomial mappings of ℂ² into ℂ² and components of polynomial automorphisms of ℂ²
- Metrics Associated with Extremal Plurisubharmonic Functions
This page was built for publication: Complete invariance and compactness of the filled Julia sets of polynomial maps in \( \mathbb {C}^N \)
