FLUCTUATIONS OF TASEP AND LPP WITH GENERAL INITIAL DATA

• 成果类型: Article
• 署名作者: Corwin, Ivan; Liu, Zhipeng; Wang, Dong
• 署名单位: Columbia University; Sorbonne Universite; Massachusetts Institute of Technology (MIT); New York University; National University of Singapore
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/15-AAP1139
• 发表日期: 2016
• 页码: 2030-2082
• 关键词: sample covariance matrices; polynuclear growth-model; simple exclusion process; limiting distributions; EXTERNAL SOURCES; UNIVERSALITY; TRANSITION; FORMULA; png

摘要

We prove Airy process variational formulas for the one-point probability distribution of (discrete time parallel update) TASEP with general initial data, as well as last passage percolation from a general down-right lattice path to a point. We also consider variants of last passage percolation with inhomogeneous parameter geometric weights and provide variational formulas of a similar nature. This proves one aspect of the conjectural description of the renormalization fixed point of the Kardar-Parisi-Zhang universality class.