46 citations · 46 across the 3 of their papers we have counts for
4 papers
Rational maps with constant Thurston pullback mapping
Guizhen Cui, Yiran Wang
In this paper, we study CTP maps, that is, marked rational maps with constant Thurston pullback mapping. We prove that all the regular or mixing CTP polynomials satisfy McMullen's…
Invariant graphs in Julia sets and decompositions of rational maps
Guizhen Cui, Yan Gao, Jinsong Zeng
In this paper, we prove that for any post-critically finite rational map on the Riemann sphere , and for each sufficiently large integer , there exist…
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…
A characterization of hyperbolic rational maps
Cui Guizhen, Tan Lei
In the early 1980's Thurston gave a topological characterization of rational maps whose critical points have finite iterated orbits (\cite{Th,DH1}): given a topological branched co…