| Abstract: |
| A lot of deep results on (discrete) quasiperiodic Schr\odinger operators (QPSO) have been obtained under an analytic condition. However, many of them depend heavily on analytic conditions and are difficult to be extended to smooth situations. In this talk, we survey the area of smooth QPSO and introduce a new dynamical system method on it. Based on it, we obtain a series of positive results only under smooth conditions. Some of them are new even in analytic topology. |
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