3 papers
math.PR2025
Limits of Random Motzkin paths with KPZ related asymptotics
Wlodzimierz Bryc, Alexey Kuznetsov, Jacek Wesolowski
We study Motzkin paths of length with general weights on the edges and end points. We investigate the limit behavior of the initial and final segments of the random Motzkin pat…
math-ph2024
On matrix product ansatz for Asymmetric Simple Exclusion Process with open boundary in the singular case
Wlodzimierz Bryc, Marcin Swieca
We study a substitute for the matrix product ansatz for Asymmetric Simple Exclusion Process with open boundary in the ``singular case'' , when the standard form of th…
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.