G. Cui

activity

20112024

most citedRational maps as Schwarzian primitives

7 citations · 17 across the 10 of their papers we have counts for

collaborators

Showing 2019Show all

2 papers · 1 filter

math.DS2019★ 1 cited

Invariant graphs of rational maps

Guizhen Cui, Yan Gao, Jinsong Zeng

Let $f$ be a postcritically finite rational map. We prove that, as $n$ large enough, there exists an $f^{n}$ -invariant (finite connected) graph on $C$ such that it…

math.DS2019

On the cycles of components of disconnected Julia sets

Guizhen Cui, Wenjuan Peng

For any integers $d \geq 3$ and $n \geq 1$ , we construct a hyperbolic rational map of degree $d$ such that it has $n$ cycles of the connected components of its Julia set except single…