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math.DS2026
Rigidity of McMullen Julia sets
Yan Gao, Luxian Yang, Jinsong Zeng
We provide a complete quasisymmetric classification of the Julia sets of postcritically finite McMullen maps with and , and prove tha…
math.DS2025
Non-recurrent rational maps with disconnected Julia set
Yan Gao, Lele Xu, Luxian Yang
We prove that every wandering exposed Julia component of a rational map is to a singleton, provided that each wandering Julia component containing critical points is non-recurrent.…
math.DS2020
On rational maps with buried critical points
Yan Gao, Luxian Yang, Jinsong Zeng
In this paper, we construct geometrically finite rational maps with buried critical points on the boundaries of some hyperbolic components by using the pinching and plumbing deform…