Convergence of the Stochastic Six-Vertex Model to the ASEP

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• 作者：Amol Aggarwal
• 关键词：Asymmetric simple exclusion process ; Stochastic six ; vertex model ; Limit degeneration ; Current
• 刊名：Mathematical Physics, Analysis and Geometry
• 出版年：2017
• 出版时间：June 2017
• 年：2017
• 卷：20
• 期：2
• 全文大小：
• 刊物类别：Physics and Astronomy
• 刊物主题：Theoretical, Mathematical and Computational Physics; Analysis; Geometry; Group Theory and Generalizations; Applications of Mathematics;
• 出版者：Springer Netherlands
• ISSN：1572-9656
• 卷排序：20

文摘

In this note we establish the convergence of the stochastic six-vertex model to the one-dimensional asymmetric simple exclusion process, under a certain limit regime recently predicted by Borodin-Corwin-Gorin. This convergence holds for arbitrary initial data.