457 citations · 3.8k across the 61 of their papers we have counts for
3 papers · 2 filters
Large time asymptotics of growth models on space-like paths II: PNG and parallel TASEP
Alexei Borodin, Patrik L. Ferrari, Tomohiro Sasamoto
We consider the polynuclear growth (PNG) model in 1+1 dimension with flat initial condition and no extra constraints. The joint distributions of surface height at finitely many poi…
Transition between Airy_1 and Airy_2 processes and TASEP fluctuations
Alexei Borodin, Patrik L. Ferrari, Tomohiro Sasamoto
We consider the totally asymmetric simple exclusion process, a model in the KPZ universality class. We focus on the fluctuations of particle positions starting with certain determi…
Dynamics of a tagged particle in the asymmetric exclusion process with the step initial condition
T. Imamura, T. Sasamoto
The one-dimensional totally asymmetric simple exclusion process (TASEP) is considered. We study the time evolution property of a tagged particle in TASEP with the step-type initial…