论文标题
强烈无序的1D Anderson-Bernoulli模型的综合密度的急剧界限
Sharp Bounds for the Integrated Density of States of a Strongly Disordered 1D Anderson-Bernoulli Model
论文作者
论文摘要
在本文中,当该疾病足够强以分离两个光谱频段时,我们为1D离散的Anderson-Bernoulli模型的综合密度(IDS)提供了上限和下限。这些边界在疾病上是统一的,并且在整个光谱上保持。它们显示了一系列能量的存在,其中可以明确给出ID的值,并且不取决于疾病参数。
In this article we give upper and lower bounds for the integrated density of states (IDS) of the 1D discrete Anderson-Bernoulli model when the disorder is strong enough to separate the two spectral bands. These bounds are uniform on the disorder and hold over the whole spectrum. They show the existence of a sequence of energies in which the value of the IDS can be given explicitly and does not depend on the disorder parameter.