4 papers · 1 filter
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…
Limiting one-point distribution of periodic TASEP
Jinho Baik, Zhipeng Liu, Guilherme L. F. Silva
The relaxation time limit of the one-point distribution of the spatially periodic totally asymmetric simple exclusion process is expected to be the universal one point distribution…
Periodic TASEP with general initial conditions
Jinho Baik, Zhipeng Liu
We consider the one-dimensional totally asymmetric simple exclusion process with an arbitrary initial condition in a spatially periodic domain, and obtain explicit formulas for the…
Integral formulas of ASEP and -TAZRP on a ring
Zhipeng Liu, Axel Saenz, Dong Wang
In this paper, we obtain the transition probability formulas for the Asymmetric Simple Exclusion Process (ASEP) and the -deformed Totally Asymmetric Zero Range Process (-TAZR…