The boundary of bounded polynomial Fatou components

By Pascale Roesch, Yongcheng Yin. 2008

49 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/ce7194ebdce738824f00aa58d3a1cddc8c22a89d

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In Geometry and Topology

1. Weiyuan Qiu
2. Yongcheng Yin

In Mathematical Physics

1. Weiyuan Qiu
2. Yongcheng Yin

Citations in the corpus

• Hyperbolic entire functions with bounded Fatou components (2014, unknown): “o asymptotic values on the boundaries of Fatou components. (However, in the presence of parabolic points the boundaries will no longer be quasicircles.) In view of the recent result of Roesch and Yin [RY08] that all bounded attracting (and parabolic) Fatou components of polynomials are Jordan domain”
• Proof of the Branner-Hubbard conjecture on Cantor Julia sets (2006, methodology): “Using Key Lemma and methods developed in this paper, Roesch and Yin proved that the boundary of a bounded Fatou component of a polynomial, which is not eventually mapped onto a Siegel disk, is a Jordan curve, see [ 23 ].”