分析与偏微分方程讨论班——Quasiperiodic Systems: Algorithms, Analysis and Applications

报告人：蒋凯（教授，湘潭大学）

时间：2024年9月20日上午10:00-11:00

地点：海纳苑2幢205室

摘要：Quasiperiodic systems, related to irrational numbers, are important space-filling structures without decay nor translational invariance. How to numerically compute these incommensurate systems poses challenges. In this talk, we will present some accurate and efficient methods for quasiperiodic systems based on the arithmetic property of irrational numbers, including periodic approximation method, projection method, and finite point recovery method. The corresponding approximation analysis is also given. Then we will present some applications, such as quasicrystals and phase transitions, grain boundaries, quasiperiodic homogenization, quasiperiodic Schrödinger systems. 

联系人：王伟（wangw07@zju.edu.cn）