| Abstract: |
| It is well-established that the spectral measure for one-frequency Schr\odinger operators with Diophantine frequencies exhibits optimal $1/2$-H\older continuity within the absolutely continuous spectrum. This study extends these findings by precisely characterizing the local distribution of the spectral measure for dense small potentials, including a notable result for any subcritical almost Mathieu operators. Additionally, we investigate the stratified H\older continuity of the spectral measure at subcritical energies. |
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