08/03/2023, 16:00 — 17:00 — Online
Jinho Baik, University of Michigan
Multi-point distribution of periodic TASEP and differential equations
We discuss random growth models in the KPZ universality on a ring. When the time and the size of the ring both tend to infinity in a critical way, the height fluctuation field is expected to converge to a field that interpolate the KPZ fixed point on the line and the Brownian motion. We discuss the convergence of the multi-time, multi-position distributions for the totally asymmetric simple exclusion process. In the second part of the talk, we discuss various deterministic differential equations associated with the KPZ fixed point and its periodic version for the narrow-wedge initial condition.
