| Abstract: |
| In this talk I will present the recent joint work with Zhenfu Wang and Qi Zhou. We study the long-range operator, in particular we show any finite-range perturbation of a subcritical almost Mathieu operator, with Diophantine frequency, retains purely absolutely continuous spectrum for all phases. My talk will focus on the part that partiallly inspired by the study of hyperbolic geodesic flows. |
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