2 citations · 4 across the 8 of their papers we have counts for
8 papers
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…
On the parabolic Fatou domains
Ning Gao, Yan Gao, Wenjuan Peng
Let be a rational map with an infinitely-connected fixed parabolic Fatou domain . We prove that there exists a rational map with a completely invariant parabolic Fatou d…
On the boundary of the central quadratic hyperbolic component
Guizhen Cui, Wenjuan Peng
We give a concrete description for the boundary of the central quadratic hyperbolic component. The connectedness of the Julia sets of the boundary maps are also considered.
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.
On the cycles of components of disconnected Julia sets
Guizhen Cui, Wenjuan Peng
For any integers and , we construct a hyperbolic rational map of degree such that it has cycles of the connected components of its Julia set except single…
Renormalizations and wandering Jordan curves of rational maps
Guizhen Cui, Wenjuan Peng, Lei Tan
We realize a dynamical decomposition for a post-critically finite rational map which admits a combinatorial decomposition. We split the Riemann sphere into two completely invariant…