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)
报告时间:2017年09月02号(星期六)上午09:30-10:30
报告地点:四号楼4318室
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数学学院
2017年09月01日
报告摘要:
Industrial and chemical mixing processes of various kinds occur throughout nature and are vital i many technological applications. In the context of discrete dynamicalsystems, the transfer operator approach has been shown as a powerful tools from both theoretic and numerical view point.In this talk, I will use a toy model (i.e., the one dimensional stretch and fold map) as an example toprovide 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.