报告题目：Understanding physical mixing processes via transfer operator approach
报告人： 张一威 副研究员 华中科技大学数学统计学院，数学中心
报告时间：11月10日下午1:30-2:30
报告地点：数学楼2楼学术报告厅
报告摘要： Industrial and chemical mixing 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