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math.PR2022★ 1 cited
A conditional scaling limit of the KPZ fixed point with height tending to infinity at one location
Zhipeng Liu, Yizao Wang
We consider the asymptotic behavior of the KPZ fixed point conditioned on as goes to infinity. The main result is a…
math.PR2022★ 15 cited
From the asymmetric simple exclusion processes to the stationary measures of the KPZ fixed point on an interval
Wlodek Bryc, Yizao Wang, Jacek Wesolowski
Barraquand and Le~Doussal introduced a family of stationary measures for the (conjectural) KPZ fixed point on an interval with Neumann boundary conditions, and predicted that they…