Characteristic polynomials of random band matrices near the threshold
Characteristic polynomials of random band matrices near the threshold
复制标题
阈值附近随机带矩阵的特征多项式
DOI：
10.1007/s10955-020-02567-3
复制
发表时间：
2020
影响因子：
1.6
通讯作者：
Shcherbina, T.
中科院分区：
文献类型：
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作者：
Shcherbina, T.
（Shcherbina and Shcherbina in common Math - Phys 351:1009-1044, 2017）；Shcherbina在《公共数学物理》328:45-82,2014)中研究了一维高斯厄米随机带矩阵的特殊情况下，当元素的协方差由矩阵决定时，特征多项式的第二相关函数的行为。应用传输矩阵方法，研究了带宽与阈值成正比的情况。
The paper continues (Shcherbina and Shcherbina in Commun Math Phys 351:1009–1044, 2017); Shcherbina in Commun Math Phys 328:45–82, 2014) which study the behaviour of second correlation function of characteristic polynomials of the special case ofone-dimensional Gaussian Hermitian random band matrices, when the covariance of the elements is determined by the matrix. Applying the transfer matrix approach, we study the case when the bandwidthWis proportional to the threshold.