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most citedStability of Spectral Types of Quasi-Periodic Schrödinger Operators With Respect to Perturbations by Decaying Potentials

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math-ph2025

Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator

Jie Cao, Xianzhe Li, Baowei Wang +1

This paper focuses on the fractal characteristics of the absolutely continuous spectral measure of the subcritical almost Mathieu operator (AMO) and Diophantine frequency. In parti…

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…