- 控制理论和非线性滤波讨论班

The Rotation Number of 1-Dimensional Schrödinger Equation with Almost Periodic Potentials

组织者

丘成栋

演讲者

冯敏立

时间

2023年06月05日 16:00 至 16:30

地点

数学系理科楼A-203

摘要

In this presentation, we introduce the rotation number for 1-dimensional Schrödinger equation with Stepanov almost periodic potentials and Dirac δ-functions, which generalizes Johnson and Mosers landmark work in 1982. The rotation number measures the average increase of some dynamical variable, and is used to compute the spectrum of Schrödinger operators. Our idea is to construct a suitable topological dynamical system so that we can use a series tools of ergodic theory.