32 citations · 101 across the 20 of their papers we have counts for
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Diagonalization in a quantum kicked rotor model with non-analytic potential
Yunfeng Shi, Li Wen
In this paper we study the lattice quasi-periodic operators with power-law long-range hopping and meromorphic monotone potentials, and diagonalize the operators via a Nash-Moser it…
Anderson localized states for the quasi-periodic nonlinear wave equation on
Yunfeng Shi, W. -M. Wang
We establish large sets of Anderson localized states for the quasi-periodic nonlinear wave equation on , thus extending nonlinear Anderson localization from the random…
Localization and Regularity of the Integrated Density of States for Schrödinger Operators on with -cosine Like Quasi-periodic Potential
Hongyi Cao, Yunfeng Shi, Zhifei Zhang
In this paper, we study the multidimensional lattice Schrödinger operators with -cosine like quasi-periodic (QP) potential. We establish quantitative Green's function estimate…
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…
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…