摘要：We consider the standard overlap of any bi-orthogonal family of left and right eigenvectors of a large random matrix with centred i.i.d. entries and we prove that it decays as an inverse second power of the distance between the corresponding eigenvalues. This extends similar results for the complex Gaussian ensemble from Bourgade and Dubach, as well as Benaych-Georges and Zeitouni, to any i.i.d. matrix ensemble in both symmetry classes. Based on a joint work with Giorgio Cipolloni and Laszlo Erdos. 

 

个人简介：许媛媛，现任职于中国科学院数学与系统科学研究院，本科毕业于中国科学技术大学，博士毕业于加州大学戴维斯分校，随后在瑞典皇家理工学院和奥地利科学技术研究所做博后，主要研究方向为随机矩阵理论。