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It was recently proved in [Corwin-Shen, 2016] that under weak asymmetry scaling, the height functions for open ASEP on the half-line and on a bounded interval converge to the Hopf-Cole solution of the KPZ equation with Neumann boundary conditions.
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Later among the works it cites.
I. Corwin, H. Shen. Open ASEP in the weakly asymmetric regime
2016
Later among the works it cites.
I. Corwin, H. Shen, and L.C. Tsai. ASEP (q, j) converges to the KPZ equation
2016
Later among the works it cites.
2017
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