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4 papers · 2 filters
Stationary Distribution of open Asymmetric Simple Exclusion Processes on an Interval as a marginal of a two-layer ensemble
Wlodek Bryc
We investigate the asymmetric simple exclusion process (ASEP) on an interval with open boundaries. We provide a representation for its stationary distribution as a marginal of the…
Limit fluctuations of stationary measure of totally asymmetric simple exclusion process with open boundaries on the coexistence line
Włodzimierz Bryc, Joseph Najnudel, Yizao Wang
We describe limit fluctuations of the height function for the open TASEP on the coexistence line under the stationary measure. It is known that the height function satisfies a law…
A two-line representation of stationary measure for open TASEP
Wlodek Bryc, Pavel Zatitskii
We show that the stationary measure for the totally asymmetric simple exclusion process on a segment with open boundaries is given by a marginal of a two-line measure with a simple…
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…