题 目:Phase transition phenomenon in deformed GinUEs
主讲人:张禄
单 位:郑州大学
时 间:2025年4月4日 15:00
地 点:数学院二楼会议室
腾讯ID:827-764-974
摘 要:For a random matrix of size $N$ as an additive deformation of the complex Ginibre ensemble under a deterministic matrix $X_0$ with a finite rank, independent of $N$, different statistical behaviours are observed in subcritical, critical and supercritical regimes, both in eigenvalue statistics(via 1-point correlation function) and eigenvector statistics(via the mean self overlap function). Further, a relevant phase transition phenomenon is observed.
简 介:张禄,毕业于中国科学技术大学,现就职于郑州大学数学与统计学院,主要研究方向是随机矩阵理论。