Invariant Nonrecurrent Fatou Components of Automorphisms of $C^2$

Details Invariant Nonrecurrent Fatou Components of Automorphisms of $C^2$ Invariant Nonrecurrent Fatou Components of Automorphisms of $C^2$

2003-09-16

arxiv.org/abs/math/0309253v1

Mathematics

Complex Variables

Scientific paper

We examine invariant nonrecurrent Fatou components of automorphisms of
$\mathbb{C}^2$ in the case where all limit maps are constant. We show that
except in special cases there cannot be more than one such limit map. We also
briefly examine such Fatou components where the limit maps may be nonconstant.
Lastly we present a few examples of such Fatou components.

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