3 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…
math.DS2025
Boundaries of the bounded hyperbolic components of polynomials
Yan Gao, Xiaoguang Wang, Yueyang Wang
In this paper, we study the local connectivity and Hausdorff dimension for the boundaries of the bounded hyperbolic components in the space of polynomials of degree…