报告题目：The Rotation Number for the Schrodinger Operator with Almost Periodic Measures: Absolutely Continuous Case

报 告 人：周喆副研究员（中国科学院数学与系统科学研究院）

报告时间：2019年11月10日 9:20-10:20

报告地点：数统院307学术报告厅

报告摘要：

The Schr\"odinger equation describes the wave function of a quantum-mechanical system. To understand the long-term behavior of solutions, the spectral analysis of the Schr\"odinger operator is the key point. In the seminal work [Johnson and Moser, CMP, 1982], the authors used the rotation number approach to determine the spectrum of the one-dimensional almost-periodic Schr\"odinger operator. In this talk, we will consider the Schr\"odinger operator with almost periodic measures. As a first step, we will consider a special case that measures are absolutely continuous and establish the rotation number in this setting. The essential elements in the proof are positive homogeneity and almost periodicity.

报告人简介：

周喆博士，中科院数学与系统科学研究院副研究员，数学院“陈景润未来之星”，研究方向为常微分方程与动力系统。在国际权威数学期刊发表论文多篇，包括JDE, Nonlinearity, DCDS, AHP, PAMS等杂志。