弱无序下随机位移模型的局部化
Localization for the random displacement model at weak disorder
摘要：
本文对基于$\R^d$的随机位移模型进行了研究。我们证明了，在弱位移制度，安德森和动力本地化持有附近的底部的频谱下的一个通用的假设上的单站点潜力和一个相当一般的假设上的支持可能的位移。这一结果来自于Lifshitz尾的存在性和对模型的Wegner估计的证明。
英文摘要：
This paper is devoted to the study of the random displacement model on $\R^d$. We prove that, in the weak displacement regime, Anderson and dynamical localization holds near the bottom of the spectrum under a generic assumption on the single site potential and a fairly general assumption on the support of the possible displacements. This result follows from the proof of the existence of Lifshitz tail and of a Wegner estimate for the model under scrutiny.
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