2 papers
math.PR2026
Periodic KPZ fixed point with general initial conditions
Jinho Baik, Yuchen Liao, Zhipeng Liu
We consider the relaxation-time-scale limit of the periodic totally asymmetric simple exclusion process (PTASEP) with general initial conditions. For every sequence of initial cond…
math.PR2025
One-point distribution of the geodesic in directed last passage percolation
Zhipeng Liu
We consider the geodesic of the directed last passage percolation with iid exponential weights. We find the explicit one-point distribution of the geodesic location joint with the…