Boundaries of Capture Hyperbolic Components
Time: 2021-06-16
Published By: He Liu
Speaker(s): Xiaoguang Wang (Zhejiang University)
Time: 10:00-11:00 June 18, 2021
Venue: Room 1560, Science Building 1
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.
