题目：The arctic curve phenomenon in probability

报告人：Philippe MARCHAL, CNRS & Université Paris XIII（法国国家科学研究中心、巴黎第十三大学）

时间：2024年5月15日（周三）16：00-17：00

地点：第五教学楼5307教室

摘要：Some probabilistic models (tilings, Young tableaux) give rise to an interesting phenomenon: the existence of a frozen region without disorder separated from a region with disorder. The boundary between these two regions is called the arctic curve. In a first order approximation, these curves converge to a deterministic curve. The second order approximation is not well understood but we will see some results for some important points of the curve, involving various probability distributions: gaussian, Tracy-Widom and Mittag-Leffler.