SOLUTION OF THE KOLMOGOROV EQUATION FOR TASEP

• 成果类型: Article
• 署名作者: Nica, Mihai; Quastel, Jeremy; Remenik, Daniel
• 署名单位: University of Toronto; Universidad de Chile; Universidad de Chile
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/20-AOP1425
• 发表日期: 2020
• 页码: 2344-2358
• 关键词: polynuclear growth; fluctuations

摘要

We provide a direct and elementary proof that the formula obtained in (Matetski, Quastel and Remenik (2016)) for the TASEP transition probabilities for general (one-sided) initial data solves the Kolmogorov backward equation. The same method yields the solution for the related PushASEP particle system.