3 papers
math.DS2020
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…
math.DS2019
The landing of parameter rays at non-recurrent critical portraits
Yan Gao, Jinsong Zeng
Based on the distortion theory developed by Cui--Tan \cite{CT15}, we prove the landing of every parameter ray at critical portraits coming from non-recurrent polynomials, thereby g…
math.DS2018
Dynamics of Newton maps
Xiaoguang Wang, Yongcheng Yin, Jinsong Zeng
In this paper, we study the dynamics of Newton maps for arbitrary polynomials. Let be an arbitrary polynomial with at least three distinct roots, and be its Newton map. It…