Anderson localization for quasi-periodic operators on $\mathbb Z^d$ with $C^2$-cosine type and Lipschitz monotone potentials

Speaker: 曹鸿艺, 北京大学 博士后

Inviter: 夏旭

Title: Anderson localization for quasi-periodic operators on $\mathbb Z^d$ with $C^2$-cosine type and Lipschitz monotone potentials

Time & Venue: 2025.08.02   9:00-10:00   思源楼 615

Abstract: In large disorder systems, physical phenomenon shows that particles have low mobility, and the material behaves like an insulator. This phenomenon is called Anderson localization, in which case the corresponding Schrödinger operator has pure point spectrum and exponentially decaying eigenfunctions. In this talk, we discuss a method for proving Anderson localization by using Rellich functions (parameterized eigenvalues) and Green's functions, which has applications in quasi-periodic operators on $\mathbb{Z}^d$ with $C^2$-cosine type and Lipschitz monotone potentials. This is based on joint works with Yunfeng Shi and Zhifei Zhang.