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开云官方下载题目: Enumerating “hyperbolic” component II
报 告 人: Tao Chen
开云官方下载人所在单位: City University of New York, CUNY
开云官方下载日期: 2022-11-11
开云官方下载时间: 9:00-10:00
开云官方下载地点: 腾讯会议室 437 376 803 密码200433
   
开云官方下载摘要:

Hyperbolic maps are the dynamically simplest among all maps in a certain family, and each connected component consisting of all hyperbolic maps is called a hyperbolic component. For rational maps, a hyperbolic component contains a unique post-critically finite map. That is, hyperbolic components can be enumerated by the solutions of algebraic equations. In this talk, we will extend this enumerating method to a family of meromorphic maps, and we give a combinatorial description of hyperbolic components. Furthermore, we will describe measurable dynamics of the maps corresponding to these solutions. In particular, these maps are non-ergodic on their Julia set.This is a joint work with Linda Keen.

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本年度学院开云官方下载总序号: 597

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