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Dynamics of λtan^m z, m>1【学报预告】

发布日期:2017年06月19日

  题目:Dynamics of λtan^m z, m>1

  报告人:Tao Chen(陈涛), City University of New York, New York, US.

  时间:2017年6月21日(星期三)16:10-17:10

  地点:理学楼A202

  报告摘要:

  In the talk, we will discuss the basic dynamical properties of the one-parameter family of meromorphic maps  𝑓_(λ,m) (𝑧)=𝜆 tan^m  𝑧, where 𝑚>1. Note that the singular set of each map in this family is finite and consists of 0, which is fixed, and the asymptotic value(s) (±i)^m λ, which is free.  We will also talk about the parameter space of this family based on the dynamics of the asymptotic value. Surprisingly, the parameter space has great similarity with that of classic quadratic maps f_c=z^2+c. This is a joint work with Professor Linda Keen.

  In the talk, we will discuss the basic dynamical properties of the one-parameter family of meromorphic maps  f_{λ,m}(z)=λtan^m z, where m>1. Note that the singular set of each map in this family is finite and consists of 0, which is fixed, and the asymptotic value(s) (±i)^mλ, which is free.  We will also talk about the parameter space of this family based on the dynamics of the asymptotic value. Surprisingly, the parameter space has great similarity with that of classic quadratic maps f_c=z^2+c. This is a joint work with Professor Linda Keen.

  报告人介绍: 

  主要研究领域: Complex Analysis, Holomorphic Dynamics, and Teichmuller Theory.