讲座题目：Gap probability for the hard edge Pearcey process 主讲人：张仑 教授 主持人：陈勇 教授 开始时间：2022-09-20 10:30:00 讲座地址：腾讯会议，会议号：398 869 529 主办单位：数学科学学院
报告人简介： 张仑，男，复旦大学教授，博士生导师。研究方向为随机矩阵理论，Riemann-Hilbert方法与渐近分析，特殊函数与正交多项式等。在随机矩阵特征值分布普适性猜想等领域取得了重要研究成果。相关研究成果发表在Comm. Pure Appl. Math.，Adv. Math., Comm. Math. Phys., J. Funct. Anal.等国际重要学术期刊。主持包括国家自然科学基金优秀青年科学基金在内的多项国家自然科学基金。
报告内容： The hard edge Pearcey process is universal in random matrix theory andmany other stochastic models. In this talk, we consider gap probabilityfor the thinned/unthinned hard edge Pearcey process over the interval (0,s). By working on the relevant Fredholm determinants, we obtain anintegral representation of the gap probability via a Hamiltonian related asystem of coupled differential equations and the large gap asymptotics.Moreover, we also establish asymptotic statistical properties of thecounting function for the hard edge Pearcey process. Based on jointworks with Dan Dai, Shuai-Xia Xu and Luming Yao. |
