论文标题
一维连续体模型的动力定位,以腐烂的随机电势
Dynamical Localization for the One-dimensional Continuum Anderson Model in a Decaying Random Potential
论文作者
论文摘要
我们考虑了一个一维连续体模型,该模型平均衰减,例如$ | x |^{ - α} $,$α> 0 $。我们显示了$ 0 <α<\ frac12 $的动态定位,并提供了特征函数衰减的控制。
We consider a one-dimensional continuum Anderson model where the potential decays in average like $|x|^{-α}$, $α>0$. We show dynamical localization for $0<α<\frac12$ and provide control on the decay of the eigenfunctions.