We prove localization and probabilistic bounds on the minimum level spacing for the Anderson tight-binding model on the lattice in any dimension, with single-site potential having a discrete distribution taking N values, with N large. These results hold for all energies under an assumption of weak hopping.

中文翻译：

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离散无序格子 Anderson 模型的定位和特征值统计

我们证明了任何维度上晶格上安德森紧束缚模型最小能级间距的局部化和概率界，单点势具有离散分布ñ值，与ñ大。在弱跳跃的假设下，这些结果适用于所有能量。