报告人：Darren Ong Chung Lee（厦门大学马来西亚分校）

时  间：2023年9月8日15:00

地  点：海韵园实验楼105报告厅

内容摘要:

CMV matrices are an important class of unitary operators on \ell^2(\mathbf Z). Recently it has been discovered that these CMV operators are useful for understanding quantum walks, the quantum mechanical analogue of random walks. In this talk we discuss how symmetries of these CMV operators help us understand important properties of some quantum walk models, for example the "mobility edge" phenomenon where we observe transition from pure point to continuous spectrum when we vary the spectral parameter. This is joint work with Christopher Cedzich, Jake Fillman, Long Li and Qi Zhou

个人简介：

Darren Ong Chung Lee, Professor of Mathematics at Xiamen University Malaysia. His main research interests is spectral theory and mathematical physics, with a current focus on studying Schrödinger, Jacobi and CMV operators. He received his PhD from Rice University under David Damanik, and he was a postdoc at the University of Oklahoma.He also a member of the editorial board of the Bulletin of the Malaysian Mathematical Sciences Society and the author of a children's book, The Trampolines that Nadia Built, published by Epigram Books.

联系人：夏超