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math-ph2022★ 8 cited
Quantitative Green's Function Estimates for Lattice Quasi-periodic Schrödinger Operators
Hongyi Cao, Yunfeng Shi, Zhifei Zhang
In this paper, we establish quantitative Green's function estimates for some higher dimensional lattice quasi-periodic (QP) Schrödinger operators. The resonances in the estimates c…
math-ph2008★ 60 cited
Long time Anderson localization for nonlinear random Schroedinger equation
W. -M. Wang, Zhifei Zhang
We prove long time Anderson localization for nonlinear random Schroedinger equation in by making a Birkoff normal form type transform to creat an energy barrier where ther…