期刊
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES
卷 59, 期 4, 页码 2257-2284出版社
INST MATHEMATICAL STATISTICS-IMS
DOI: 10.1214/22-AIHP1315
关键词
Asymmetric simple exclusion process; Scaling limit; KPZ fixed point on an interval
This paper demonstrates that the stationary measures for KPZ fixed point with Neumann boundary conditions arise as the scaling limits of height increment processes for the open asymmetric simple exclusion process.
Barraquand and Le Doussal (Europhys. Lett. 137 (2022) 61003) introduced a family of stationary measures for the (conjectural) KPZ fixed point on an interval with Neumann boundary conditions, and predicted that they arise as scaling limits of stationary measures of all models in the KPZ universality class on an interval. In this paper, we show that the stationary measures for KPZ fixed point on an interval arise as the scaling limits of the height increment processes for the open asymmetric simple exclusion process in the steady state, with parameters changing appropriately as the size of the system tends to infinity.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据