ON INHOMOGENEOUS POLYNUCLEAR GROWTH

• 成果类型: Article
• 署名作者: Johansson, Kurt; Rahman, Mustazee
• 署名单位: Royal Institute of Technology; Durham University
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/21-AOP1540
• 发表日期: 2022
• 页码: 559-590
• 关键词: model; TRANSITION; discrete; png

摘要

This article studies the inhomogeneous geometric polynuclear growth model; the distribution of which is related to Schur functions. We explain a method to derive its distribution functions in both space-like and time-like directions, focusing on the two-time distribution. Asymptotics of the two-time distribution in the KPZ-scaling limit is then considered, extending to two times several single-time distributions in the KPZ universality class.