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math.PR2024
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.PR2024
A remarkable example on clustering of extremes for regularly-varying stochastic processes
Shuyang Bai, RafaÅ 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.PR2024
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…