Yunfeng Shi

activity

20172023

most citedAnderson localization for multi-frequency quasi-periodic operators on

Z^{d}

32 citations · 101 across the 20 of their papers we have counts for

collaborators

Showing 2023 · math-phShow all

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math-ph2023

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…

math-ph2023

Anderson localized states for the quasi-periodic nonlinear wave equation on $Z^{d}$

Yunfeng Shi, W. -M. Wang

We establish large sets of Anderson localized states for the quasi-periodic nonlinear wave equation on $Z^{d}$ , thus extending nonlinear Anderson localization from the random…

math-ph2023

Localization and Regularity of the Integrated Density of States for Schrödinger Operators on $Z^{d}$ with $C^{2}$ -cosine Like Quasi-periodic Potential

Hongyi Cao, Yunfeng Shi, Zhifei Zhang

In this paper, we study the multidimensional lattice Schrödinger operators with $C^{2}$ -cosine like quasi-periodic (QP) potential. We establish quantitative Green's function estimate…

Diagonalization in a quantum kicked rotor model with non-analytic potential

Anderson localized states for the quasi-periodic nonlinear wave equation on Zd

Localization and Regularity of the Integrated Density of States for Schrödinger Operators on Zd with C2-cosine Like Quasi-periodic Potential

Anderson localized states for the quasi-periodic nonlinear wave equation on $Z^{d}$

Localization and Regularity of the Integrated Density of States for Schrödinger Operators on $Z^{d}$ with $C^{2}$ -cosine Like Quasi-periodic Potential