Bounded critical Fatou components are Jordan domains, for polynomials

Details Bounded critical Fatou components are Jordan domains, for polynomials Bounded critical Fatou components are Jordan domains, for polynomials

2009-09-25

arxiv.org/abs/0909.4598v2

Mathematics

Dynamical Systems

Scientific paper

We prove that, for polynomials, the boundary of any bounded Fatou component
is a Jordan curve, except maybe for Siegel disks.

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