79 citations · 114 across the 15 of their papers we have counts for
16 papers
Continuity of Julia sets and invariant rays
Xiaoguang Wang
For certain typical perturbations of a rational map with parabolic cycles, we investigate the relations between the Hausdorff convergence of Julia sets and invariant…
Koebe uniformization for infinitely connected attracting Fatou domains
Xiaoguang Wang, Yi Zhong
This paper works on the structure of infinitely connected Fatou damains of rational maps in terms of Koebe uniformization. Due to the complicated boundary behavior, the existing un…
Capture components of cubic Siegel polynomials
Xiaoguang Wang, Fei Yang
Let be an irrational number of bounded type. We prove that all capture components in the parameter space of cubic polynomials , where $a\in\mathbb{C…
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…
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…
Hyperbolic components and cubic polynomials
Xiaoguang Wang
In the space of cubic polynomials, Milnor defined a notable curve , consisting of cubic polynomials with a periodic critical point, whose period is exactly . In th…