Probability Seminar - From mixing time of Markov chains to Tracy-Widom law of inhomogeneous random matrices
报告人：刘党政（中国科学技术大学)
时间：2025-10-27 14:00-16:30
地点：四元厅
Abstract: Consider symmetric and Hermitian random matrices whose entries are independent random variables with an arbitrary variance pattern. Under a novel Short-to-Long Mixing condition, which is sharp in the sense that it precludes a corrected shift at the spectral edge, we establish GOE/GUE edge universality for such inhomogeneous random matrices that may be sparse or far beyond the mean-field setting of classical random matrix theory. This condition effectively reduces the universality problem to verifying the mixing properties of Markov chains defined by the variance profile matrix. This talk is based on joint work with Guangyi Zou.
Bio: 刘党政, 中国科学技术大学色控
副教授，2010年色控
博士毕业，研究兴趣在随机矩阵理论与应用。
