Classification of hyperbolic component with bounded escape

报告题目：Classification of hyperbolic component with bounded escape

报告人：Dr. Yusheng Luo (Stony Brook University, US.)

时间：2019年8月9日 （星期五）上午11：00-12：00

地点：工商楼200-9

摘要： A hyperbolic component is said to have bounded escape if there is a sequence of rational maps which is degenerating as conjugacy classes, but for any period p, the multipliers of periodic points of period p remain bounded. A hyperbolic component is said to have nested Julia sets if the Julia set is disconnected and there are two points that are separated by any Julia component.

In this talk we will show that a hyperbolic component has bounded escape if and only if it has nested Julia sets.

联系人：王晓光老师 (wang688@zju.edu.cn)