3 papers
math-ph2026
Anderson localized states for the quasi-periodic nonlinear Schrödinger equation on
Yunfeng Shi, W. -M. Wang
We establish large sets of Anderson localized states for the quasi-periodic nonlinear Schrödinger equation on , thus extending Anderson localization from the linear (…
math-ph2025
Green's function estimates for quasi-periodic operators on with power-law long-range hopping
Yunfeng Shi, Li Wen
We establish quantitative Green's function estimates for a class of quasi-periodic (QP) operators on with power-law long-range hopping and analytic cosine type poten…
math-ph2025
Localization for Lipschitz monotone quasi-periodic Schrödinger operators on via Rellich functions analysis
Hongyi Cao, Yunfeng Shi, Zhifei Zhang
We establish the Anderson localization and exponential dynamical localization for a class of quasi-periodic Schrödinger operators on with bounded or unbounded Lipsc…