Gap probabilities in random matrix theory and Painlev\'e equations
报告专家：徐帅侠 教授（中山大学）
报告时间：7月13日（周三）下午3:00-4:00
报告地点：腾讯会议：985 122 813
报告摘要：In this talk, we intend to discuss the gap probabilities of finding no eigenvalues near some critical points in the random Hermitian matrix ensembles. We show that the gap probabilities concerned can be explicitly evaluated by using solutions of some Painlev\'e type systems. Moreover, we obtain asymptotic approximation of the gap probabilities as the size of gap tends to infinity. This talk is based on joint work with Dan Dai and Lun Zhang.
专家简介： 徐帅侠，中山大学教授，研究方向为随机矩阵理论、潘勒韦方程、正交多项式和渐近分析。主持国家自然科学基金项目3项和广东省杰出青年基金项目等课题。相关结果发表于 Adv. Math.、Comm. Math. Phys. 和 SIAM JMA 等期刊。
