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20092025
most citedMarkov processes related to the stationary measure for the open KPZ equation

35 citations · 161 across the 45 of their papers we have counts for

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42 papers · 1 filter

math.PR2024

A remarkable example on clustering of extremes for regularly-varying stochastic processes

Shuyang Bai, Rafał Kulik, Yizao Wang

The stable-regenerative multiple-stable model has been shown recently to have distinct candidate extremal index and extremal index. To understand further this rare phenomenon, two…

math.PR2023★ 6 cited

Askey-Wilson signed measures and open ASEP in the shock region

Yizao Wang, Jacek Wesolowski, Zongrui Yang

We introduce a family of multi-dimensional Askey-Wilson signed measures. We offer an explicit description of the stationary measure of the open asymmetric simple exclusion process…

math.PR2023★ 4 cited

Fluctuations of random Motzkin paths II

Wlodzimierz Bryc, Yizao Wang

We compute limit fluctuations of random Motzkin paths with arbitrary end-points as the length of the path tends to infinity.

math.PR2023★ 1 cited

Limit theorems for random Motzkin paths near boundary

Wlodzimierz Bryc, Yizao Wang

We consider Motzkin paths of length , not fixed at zero at both end points, with constant weights on the edges and general weights on the end points. We investigate, as the leng…

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…