2 papers
math.PR2025
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…
math.PR2024
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…