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math.DS2023
Wandering Julia components of cubic rational maps
Guizhen Cui, Wenjuan Peng, Luxian Yang
We prove that every wandering Julia component of cubic rational maps eventually has at most two complementary components.
math.DS2023
Decomposition of rational maps by stable multicurves
Guizhen Cui, Fei Yang, Luxian Yang
A completely stable multicurve of a post-critically finite rational map induces a combinatorial decomposition. The projections of the small Julia sets are immersed within the origi…