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arXiv · 2204.11000

Stability of the non-critical spectral properties I: arithmetic absolute continuity of the integrated density of states

Lingrui Ge·Svetlana Jitomirskaya·Xin Zhao
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Abstract

We prove absolute continuity of the integrated density of states for frequency-independent analytic perturbations of the non-critical almost Mathieu operator under arithmetic conditions on frequency.

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Lingrui Ge, Svetlana Jitomirskaya, Xin Zhao. 2022-04-23. Stability of the non-critical spectral properties I: arithmetic absolute continuity of the integrated density of states. https://doi.org/10.1007/s00220-023-04724-7

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