Composite Julia sets generated by infinite polynomial arrays.

DOI10.1016/j.bulsci.2003.08.002zbMath1040.37033OpenAlexW2010037006WikidataQ121600056 ScholiaQ121600056MaRDI QIDQ1421330

Marta Kosek, Maciej Klimek

Publication date: 26 January 2004

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2003.08.002

zbMATH Keywords

Julia setspluricomplex Green functionanalytic multifunctions

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) 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) Plurisubharmonic functions and generalizations (32U05) Plurisubharmonic extremal functions, pluricomplex Green functions (32U35)

Related Items (4)

Complete invariance and compactness of the filled Julia sets of polynomial maps in \( \mathbb {C}^N \) ⋮ Strong analyticity of partly filled-in composite Julia sets ⋮ Attractors of compactly generated semigroups of regular polynomial mappings ⋮ Hölder exponents for the pluricomplex Green function of Julia type sets

Cites Work

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• Analytic set-valued functions and spectra
• A primer on spectral theory
• Iteration of Analytic Multifunctions
• Meromorphic multifunctions in complex dynamics
• Continuity of intersection of analytic sets
• Hölder continuity property of filled-in Julia sets in $\mathbb \{C\}^n$
• On perturbations of pluriregular sets generated by sequences of polynomial maps
• Generalised Spectra and Analytic Multivalued Functions
• Metrics Associated with Extremal Plurisubharmonic Functions

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