Hongyi Cao

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20222026

most citedQuantitative Green's Function Estimates for Lattice Quasi-periodic Schrödinger Operators

8 citations · 8 across the 6 of their papers we have counts for

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Showing 2023 · math-phShow all

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math-ph2023

On the spectrum of quasi-periodic Schrödinger operators on $Z^{d}$ with $C^{2}$ -cosine type potentials

Hongyi Cao, Yunfeng Shi, Zhifei Zhang

In this paper, we establish the Anderson localization, strong dynamical localization and the $(\frac{1}{2} -)$ -Hölder continuity of the integrated density of states (IDS) for some mult…

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…

On the spectrum of quasi-periodic Schrödinger operators on Zd with C2-cosine type potentials

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

On the spectrum of quasi-periodic Schrödinger operators on $Z^{d}$ with $C^{2}$ -cosine type potentials

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