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math.DS2026
Rigidity of Simple Parabolic Maps
Ning Gao, Yan Gao, Wenjuan Peng
We prove that two simple parabolic rational maps with conformally conjugate completely invariant parabolic Fatou domains are globally conformally conjugate. The proof combines quas…
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…