3 papers
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…
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.DS2024
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…