关于 Wigner 矩阵的有限秩形变 II：离域微扰
概率论
2012-10-24 v3
摘要
我们研究了 Wigner 随机矩阵的有限秩形变谱中离群值的分布。我们假设矩阵元素具有有限的四阶矩，并将 Capitaine、Donati-Martin 和 F\'eral 关于特征向量离域的微扰的结果进行了推广。
引用
@article{arxiv.1203.5130,
title = {On Finite Rank Deformations of Wigner Matrices II: Delocalized Perturbations},
author = {David Renfrew and Alexander Soshnikov},
journal= {arXiv preprint arXiv:1203.5130},
year = {2012}
}
备注
We explained some proofs in greater detail, corrected several small misprints, and updated the bibliography