6 papers
Non-uniqueness of characteristic curves of folding rational maps
Luxian Yang, Jinsong Zeng
A folding rational map is a postcritically finite rational map admitting an essential Jordan curve , disjoint from the postcritical set , whose preimage is disconnected…
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…
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.…
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.
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…
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…