会议时间：2025年5月7日（星期三）16:00
报告人：张睿轩（美国犹他大学 博士后）
报告题目：An Upper Tail Field of the KPZ Fixed Point
会议地点：色情网
9号楼113报告厅
报告摘要： The KPZ fixed point is a (1+1)-dimensional space-time random field conjectured to be the universal limit for models within the Kardar-Parisi-Zhang (KPZ) universality class. We consider the KPZ fixed point with the narrow-wedge initial condition, conditioning on a large value at a specific point. By zooming in the neighborhood of this high point appropriately, we obtain a limiting random field which we call an upper tail field of the KPZ fixed point. Different from the KPZ fixed point, where the time parameter has to be nonnegative, the upper tail field is defined in the full 2-dimensional space. Particularly, if we zoom out the upper tail field appropriately, it behaves like a Brownian-type field in the negative time regime and the KPZ fixed point in the positive time regime. One main ingredient of the proof is an upper tail estimate of the joint tail probability functions of the KPZ fixed point near the given point, which generalizes the well-known one-point upper tail estimate of the GUE Tracy-Widom distribution. This is a joint work with Zhipeng Liu.
报告人简介：张睿轩，2017年本科毕业于色情网
会计学（ACCA方向），2024年博士毕业于美国堪萨斯大学数学系，师从刘志鹏教授。目前于美国犹他大学担任C.R. Wiley Instructorship博士后研究员，主要研究方向为可积概率与KPZ普适类。
