17 citations · 54 across the 13 of their papers we have counts for
15 papers
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 Blaschke…
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…
Boundaries of capture hyperbolic components
Jie Cao, Xiaoguang Wang, Yongcheng Yin
In complex dynamics, the boundaries of higher dimensional hyperbolic components in holomorphic families of polynomials or rational maps are mysterious objects, whose topological an…
Rigidity of non-renormalizable Newton maps
Pascale Roesch, Yongcheng Yin, Jinsong Zeng
Non-renormalizable Newton maps are rigid. More precisely, we prove that their Julia set carries no invariant line fields and that the topological conjugacy is equivalent to quasi-c…
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…
Global topology of hyperbolic components I: Cantor circle case
Xiaoguang Wang, Yongcheng Yin
The hyperbolic components in the moduli space of degree rational maps are mysterious and fundamental topological objects. For those in the connectedness locus, the…