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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-ph2022★ 14 cited
Localization for Almost-Periodic Operators with Power-law Long-range Hopping: A Nash-Moser Iteration Type Reducibility Approach
Yunfeng Shi
In this paper we develop a Nash-Moser iteration type reducibility approach to prove the (inverse) localization for some -dimensional discrete almost-periodic operators with powe…