报告题目：Large gap asymptotics of the hard edge tacnode process

报 告 人：刘竣文

报告时间：2025年4月24日下午16:00-17:00

报告地点：龙洞行政楼610报告厅

报告摘要为: A special type of geometric situation in ensembles of non-intersecting paths occurs when the non-intersecting trajectories are required to be nonnegative so that the limit shape becomes tangential to the hard-edge 0. The local fluctuation is governed by the universal hard edge tacnode process, which also arises from some tiling problems. It is the aim of this work to explore the integrable structure and asymptotics for the gap probability of the hard edge thinned/unthinned tacnode process over (0,s). We establish an integral representation of the gap probability in terms of the Hamiltonian associated with a system of differential equations.In this talk, some applications of our results are discussed as well.

报告人简介：刘竣文, 复旦大学在读博士, 导师: 张仑教授. 本科毕业于南开大学, 研究兴趣为随机矩阵及Painlev\'{e}方程的渐进分析。