报告时间： 6月12日，上午10：30-11：30

报告地点：环境楼316会议室

报告人： 张一威，研究员，华中科技大学

题目：Understanding physical mixing processes via transfer operator approach

摘要：Industrial and chemical mixing processes of various kinds occur throughout nature and are vital in many 

technological applications.In the context of discrete dynamical systems, the transfer operator approach has been

shown as a powerful tools from both theoretic and numerical viewpoint.In this talk, I will use a toy model (i.e., 

the one dimensional stretch and fold map) as an example to provide a brief introduction on the relationships between 

the spectral properties of the associated transfer operator and the estimations of the optimal mixing rate of the 

mixing process. Moreover, I will address how the optimal mixing rate varies according to the stretch and fold map 

has ``cutting and shuffling`` behaviour (i.e., composing with a permutation). If time permits, I will also talk 

about how to interpret this problem to the eigenvalue estimations for the Random bi-stochastic matrices (free 

probability theory) and the locations of poles of the dynamical zeta function. These are joint works with Charles 

Bordenave, Nigel Byott, Mark Holland and Congping Lin.