动力系统系列讨论班—Understanding physical mixing processes via transfer?operator approach
主 题: 动力系统系列讨论班—Understanding physical mixing processes via transfer?operator approach
报告人: 张一威 副研究员 (华中科技大学 )
时 间: 2017-04-19 10:00-11:00
地 点: 理科1号楼1303
Abstract: 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 tool 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, the optimal mixing rate varies according to the stretch and fold map has “cutting and shuffling” behaviour (i. e., composing with a permutation). This problem is closed related to the eigenvalue estimations for the Random bi-stochastic matrices.