MULTIPOINT DISTRIBUTION OF TASEP

• 成果类型: Article
• 署名作者: Liu, Zhipeng
• 署名单位: University of Kansas
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/21-AOP1557
• 发表日期: 2022
• 页码: 1255-1321
• 关键词: polynuclear growth; stationary tasep; free-energy; kpz growth; fluctuations; asymptotics; asep; ring

摘要

Recently Johansson and Rahman obtained the limiting multitime distribution for the discrete polynuclear growth model (Johansson and Rahman (2019)), which is equivalent to a discrete TASEP model with step initial condition. In this paper, we obtain a finite time multipoint distribution formula of continuous TASEP with general initial conditions in the space-time plane. We evaluate the limit of this distribution function when the times go to infinity at the same speed for both step and flat initial conditions. These limiting distributions are expected to be universal for all the models in the Kardar-Parisi-Zhang universality class.