A Family of Meromorphic Functions: Ergodic or Non-ergodic
发布时间：2024年01月19日
浏览次数：1297
发布者: He Liu
主讲人： Tao Chen(City University of New York)
活动时间： 从 2024-01-24 09:00 到 10:00
场地： 线上
McMullen's dichotomy states that a rational map is ergodic (the Julia set is the whole sphere, and the map is ergodic) or attracting (almost every point on the sphere is attracted to the post-critical set). However, it may be challenging to determine which case applied to a given map, of which the Julia set is the sphere. In this talk, for a family of meromorphic maps with finite many asymptotic values and no critical points, called Nevanlinna functions in the literature, we give a criterion to determine whether it is ergodic or not. This is a joint work with Yunping Jiang and Linda Keen.
Zoom Meeting ID: 181 155 584
