2 papers
math.DS2026
On the parabolic Fatou domains II: rigidity
Ning Gao, Yan Gao, Wenjuan Peng
This paper is a follow-up study on the holomorphic model problem for infinitely-connected parabolic Fatou domains of rational maps. We prove that simple parabolic maps serve as hol…
math.DS2025
On the parabolic Fatou domains
Ning Gao, Yan Gao, Wenjuan Peng
Let be a rational map with an infinitely-connected fixed parabolic Fatou domain . We prove that there exists a rational map with a completely invariant parabolic Fatou d…