A lot of deep results on (discrete) quasiperiodic Schrӧdinger operators (QPSO) have been obtained under an analytic condition. However, many of them depend heavily on analytic conditions and are dicult 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. With the same method, we also showed that some important results in analytic cases do not hold true in smooth cases.
星期五, 2018/03/16 - 从 15:30 到 16:30