Showing 2023Show all
2 papers · 1 filter
math.CV2023
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…
math.DS2023
Decomposition of rational maps by stable multicurves
Guizhen Cui, Fei Yang, Luxian Yang
A completely stable multicurve of a post-critically finite rational map induces a combinatorial decomposition. The projections of the small Julia sets are immersed within the origi…