Multipoint distribution of TASEP

Recently Johansson and Rahman obtained the limiting multitime distribution for discrete polynuclear growth model (Johansson (2019)), which is equivalent to a TASEP with step initial condition. In this paper, we obtain finite time multipoint formula of continuous general conditions in space-time plane. We evaluate limit function when times go infinity at same speed both flat conditions. These distributions are expected be universal all models Kardar–Parisi–Zhang universality class.