Speaker: Hongyi CAO (Peking University)

Time： April 06, 14:30-15:30

Place：五教5407

Title： Localization for quasi-periodic Schr\odinger operators on $\mathbb{Z}^d$ with $C^2$-cosine Like Potentials

Abstract： Anderson Localization (pure point spectrum with exponentially decaying eigenfunctions) is an important phenomenon in spectrum theory for quasi-periodic (QP) operators. In this talk, we will discuss lattice QP Schr\odinger operators on $\mathbb{Z}^d (d\geq1)$ with $C^2$-cosine like potentials. We will show quantitative Green's function estimates and the arithmetic version of Anderson localization for such QP Schr\odinger operators. This talk is based on a joint work with my advisors Zhifei Zhang (Peking University) and Yunfeng Shi (Sichuan University).