Boundaries of Capture Hyperbolic Components
发布时间：2021年06月16日
浏览次数：5284
发布者: He Liu
主讲人： Xiaoguang Wang (Zhejiang University)
活动时间： 从 2021-06-18 10:00 到 11:00
场地： 理科一号楼1560
In the field of complex dynamics, the boundaries of higher dimensional hyperbolic components in meaningful families of polynomals or rational maps are mysterious topological objects. In this talk, we discuss some typical families of polynomials, and show that the boundary of a (high-dimensional) capture hyperbolic component is homeomorphic to the sphere. More strikingly, the Hausdorff dimension of this boundary can be given explicitly. This is a joint work with Jie Cao and Yongcheng Yin.
