2 papers
math.CV2024
Koebe uniformization of nondegenerate domains with bounded gap-ratio
Yi Zhong
Koebe uniformization is a fundemental problem in complex analysis. In this paper, we use transboundary extremal length to show that every nondegenerate and uncountably connected do…
math.CV2024
Koebe uniformization for infinitely connected attracting Fatou domains
Xiaoguang Wang, Yi Zhong
This paper works on the structure of infinitely connected Fatou damains of rational maps in terms of Koebe uniformization. Due to the complicated boundary behavior, the existing un…