[Progress in Mathematics]Spectral Theory of Schr?dinger Operators via Dynamical Systems
主 题: [Progress in Mathematics]Spectral Theory of Schr?dinger Operators via Dynamical Systems
报告人: Jiangong You (Chern Institute of Mathematics, Nankai University)
时 间: 2017-11-13 14:00 - 2017-11-13 15:00
地 点: Room 77201, Jingchunyuan 78, BICMR
\n\tThe spectral theory of quasiperiodic operators is a fascinating field which continuously attracts a lot of attentions for its rich background in quantum physics as well as its rich connections with many mathematical theories and methods. In this lecture, I will briefly introduce the main problems in this field and their connections with dynamical systems, especially the reducibility theory. Finally, I will talk about a recent result by Avila-You-Zhou on the phase transition in Almost Mathieu Operators which is an application of dynamical systems method in the spectral theory.\n<\/p>\n<\/span>