Hongyi Cao

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math-ph2026

Anderson localization and Hölder continuity of the integrated density of states for analytic quasiperiodic Schrödinger operators

Hongyi Cao, Yunfeng Shi, Zhifei Zhang

We establish both Anderson localization and Hölder continuity of the integrated density of states for quasiperiodic Schrödinger operators on $Z^{d}$ with any non-constant an…

math-ph2024

Localization for Lipschitz monotone quasi-periodic Schrödinger operators on $Z^{d}$ via Rellich functions analysis

Hongyi Cao, Yunfeng Shi, Zhifei Zhang

We establish the Anderson localization and exponential dynamical localization for a class of quasi-periodic Schrödinger operators on $Z^{d}$ with bounded or unbounded Lipsch…

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…

Anderson localization and Hölder continuity of the integrated density of states for analytic quasiperiodic Schrödinger operators

Localization for Lipschitz monotone quasi-periodic Schrödinger operators on Zd via Rellich functions analysis

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

Localization for Lipschitz monotone quasi-periodic Schrödinger operators on $Z^{d}$ via Rellich functions analysis

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