2 papers
math.DS2025
Boundary of the central hyperbolic component II: boundary extension theorem
Jie Cao, Xiaoguang Wang, Yongcheng Yin
In this paper, we study the boundary behavior of Milnor's parameterization of the central hyperbolic component via Blaschk…
math.DS2025
Boundary of the central hyperbolic component I: dynamical properties
Jie Cao, Xiaoguang Wang, Yongcheng Yin
We study the dynamics of polynomial maps on the boundary of the central hyperbolic component . We prove the local connectivity of Julia sets and a rigidity theorem fo…