论文标题
标量波动的随机带矩阵定位
Random band matrix localization by scalar fluctuations
论文作者
论文摘要
我们显示,当频带宽度小于矩阵大小的1/4功率时,高斯随机带矩阵的特征向量已定位。我们的论点本质上是Schenker的1/8指数证明的优化版本。
We show the eigenvectors of a Gaussian random band matrix are localized when the band width is less than the 1/4 power of the matrix size. Our argument is essentially an optimized version of Schenker's proof of the 1/8 exponent.