题目: Last Passage Percolation with Thick Boundaries

报告人：刘敏(波恩大学)

时间：10月14日（星期三） 10:30am

地点：五教5406

摘要：We consider the exponential last passage percolation (LPP) with thick two-sided boundary that consists of a few inhomogeneous columns and rows. Ben Arous and Corwin previously studied the limit fluctuations in this model except in a critical regime, for which they predicted that the limit distribution exists and depends only on the most dominant columns and rows. In this article, we prove their conjecture and identify the limit distribution explicitly in terms of a Fredholm determinant of a 2 × 2 matrix kernel. This result leads in particular to an explicit variational formula for the one-point marginal of the KPZ fixed point for a new class of initial conditions. Our limit distribution is also a novel generalization of and provides a new numerically efficient representation for the Baik-Rains distribution.

报告人简介：Min Liu completed his doctoral studies at the University of Bonn. He will join the University of Augsburg as a postdoctoral researcher. His research interests lie at the interface of probability theory and statistical physics, with a particular focus on integrable probability, KPZ universality.