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 for random coupled harmonic oscillators on
Hongzi Cong, Yunfeng Shi, Zhihan Zhang
In this paper we consider the localization properties of coupled harmonic oscillators in random media. Each of these oscillators is restricted to the lattice . We sho…
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…