7 citations · 17 across the 10 of their papers we have counts for
10 papers
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.
Invariant graphs of rational maps
Guizhen Cui, Yan Gao, Jinsong Zeng
Let be a postcritically finite rational map. We prove that, as large enough, there exists an -invariant (finite connected) graph on such that it…
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…
Arbitrary large number of non trivial rescaling limits
Matthieu Arfeux, Guizhen Cui
We construct a family of rational map sequences providing an arbitrary large number of dynamically independent rescaling limits of non monomial type. From this, we deduce the exist…
Rational maps as Schwarzian primitives
Guizhen Cui, Yan Gao, Lei Tan +1
We study necessary and sufficient conditions for a meromorphic quadratic differential with prescribed poles to be the Schwarzian derivative of a rational map. We give geometric int…