Rigidity of eigenvalues of generalized Wigner matrices
Rigidity of eigenvalues of generalized Wigner matrices
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DOI：
10.1016/j.aim.2011.12.010
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发表时间：
2012-02-15
影响因子：
1.7
通讯作者：
Yin, Jun
中科院分区：
文献类型：
--
作者：
Erdos, Laszlo;Yau, Horng-Tzer;Yin, Jun
考虑N x N个具有独立条目的厄米或对称随机矩阵H，其中（i, j）矩阵元素的分布由概率度量nu（ij）给出，期望为零，方差为sigma(2)（ij）。我们假设方差满足所有j的归一化条件Sigma(i) Sigma(2)(ij) = 1并且存在一个正常数c使得c
Consider N x N Hermitian or symmetric random matrices H with independent entries, where the distribution of the (i, j) matrix element is given by the probability measure nu(ij) with zero expectation and with variance sigma(2)(ij). We assume that the variances satisfy the normalization condition Sigma(i) sigma(2)(ij) = 1 for all j and that there is a positive constant c such that c