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20232026
most citedSpectrum of Hatano-Nelson model with strictly ergodic potentials

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math.DS2026

Admissible Fourier Lengths, KAM Reducibility, and Spectral Applications

Xueyin Wang, Jiangong You

We develop a perturbative KAM reducibility theory for one-frequency cocycles based on an admissible Fourier length . The regularity relevant to th…

math.DS2024

Sharp Spectral Gaps, Arithmetic Localization, and Reducibility via Resonance Analys

Lingrui Ge, Jiangong You, Qi Zhou

This paper establishes several sharp spectral results for analytic quasiperiodic Schrodinger operators. Key contributions include: (1) exact exponential decay rates for spectral ga…