Bounded critical Fatou components are Jordan domains, for polynomials

Abstract

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

References in corpus (1)

• Local connectivity and quasi-conformal rigidity of non-renormalizable polynomials

Cited by in corpus (1)

• Connectedness properties of the set where the iterates of an entire function are bounded