论文标题
关于强弹道运输与指数动态定位之间的关系
On the relation between strong ballistic transport and exponential dynamical localization
论文作者
论文摘要
由于双重家族的指数动力学定位，我们为一个离散的准卫生型施罗丁犬家族建立了强大的弹道运输。从本质上讲，后者是由Jitomirskaya和Krüger在单频的环境中表现出来的，在多频案例中，您是ge-you-zhou。在这两个制度中，我们都会获得$ \ frac {1} {t} x（t）$的强烈收敛到渐近速度操作员$ q $，这改善了Zhao的最新扰动结果，并提供了最强的已知形式的弹道运动形式。在单频的环境中，这种方法允许非扰动地对待二只频率，并且也考虑了弱的liouville情况。
We establish strong ballistic transport for a family of discrete quasiperiodic Schrödinger operators as a consequence of exponential dynamical localization for the dual family. The latter has been, essentially, shown by Jitomirskaya and Krüger in the one-frequency setting and by Ge--You--Zhou in the multi-frequency case. In both regimes, we obtain strong convergence of $\frac{1}{T}X(T)$ to the asymptotic velocity operator $Q$, which improves recent perturbative results by Zhao and provides the strongest known form of ballistic motion. In the one-frequency setting, this approach allows to treat Diophantine frequencies non-perturbatively and also consider the weakly Liouville case.
