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math-ph2024
Exact local distribution of the absolutely continuous spectral measure
Xianzhe Li, Jiangong You, Qi Zhou
It is well-established that the spectral measure for one-frequency Schrödinger operators with Diophantine frequencies exhibits optimal -Hölder continuity within the absolutely…
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…