On the dynamics of nondegenerate polynomial endomorphisms of \(\mathbb{C}^2\)
type: Item
instance of: scholarly article
title: On the dynamics of nondegenerate polynomial endomorphisms of \(\mathbb{C}^2\)
zbMATH Open document ID: 0942.37030
author: Guiai Peng
published in: Journal of Mathematical Analysis and Applications
publication date: 2000-08-28T00:00:00Z
review text: The author deals with the following question: It is well-known that in the 1D case, every polynomial map can be holomorphically extended to infinity. However, this is not true in higher dimensions. Therefore the author generalizes the Brolin-Lyubich theorem to nondegenerate polynomial endomorphisms of \(\mathbb{C}^2\).
Mathematics Subject Classification ID: 37F45
zbMATH DE Number: 1346379
zbMATH Keywords: complex dynamics
zbMATH Keywords: Brolin-Lyubich theorem
zbMATH Keywords: polynomial endomorphisms
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: jmaa.1999.6492
OpenAlex ID: W1998272728
cites work: Polynomial diffeomorphisms of \({\mathbb C}^2\): Currents, equilibrium measure and hyperbolicity
cites work: Invariant sets under iteration of rational functions
cites work: Q4869193
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cites work: Invariant manifolds
cites work: Q3322903
cites work: On the dynamics of rational maps
cites work: Cycles for the dynamical study of foliated manifolds and complex manifolds
cites work: Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains
DOI: 10.1006/JMAA.1999.6492
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description: scientific article; zbMATH DE number 1346379