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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.DS2026
Polynomials in molecules
Yan Gao, Jinsong Zeng
This paper characterizes polynomials within molecules. We show that a geometrically finite polynomial of degree lies in a molecule if and only if all its critical points b…