4 papers · 1 filter
Critical fluctuations of last passage percolation with thick boundaries
Elnur Emrah, Patrik L. Ferrari, Min Liu
We consider the exponential last passage percolation (LPP) with thick two-sided boundary that consists of a few inhomogeneous columns and rows. Ben Arous and Corwin previously stud…
Mixing times for the open ASEP at the triple point
Patrik L. Ferrari, Dominik Schmid
We consider mixing times for the open asymmetric simple exclusion process (ASEP) at the triple point. We show that the mixing time of the open ASEP on a segment of length for b…
Quasi-geodesics in integrable and non-integrable exclusion processes
Patrik L. Ferrari, Min Liu
Backwards geodesics for TASEP were introduced in [Fer18]. We consider flat initial conditions and show that under proper scaling its end-point converges to maximizer argument of th…
Exact decay of the persistence probability in the Airy process
Patrik L. Ferrari, Min Liu
We consider the Airy process, which is the limit process in KPZ growth models with flat and non-random initial conditions. We study the persistence probability, namely the prob…