preprint-author: 
Jonguk Yang
preprint-title: 
Local Connectivity of Polynomial Julia sets at Bounded Type Siegel Boundaries
preprint-abstract: 

Consider a polynomial f of degree d≥2 whose Julia set Jf is connected. If f has a Siegel disc Δf of bounded type rotation number, then Jf is locally connected at the Siegel boundary ∂Δf.

arXiv:2010.14003v2

preprint-year: 
2020