Mustazee Rahman (cancelled)

On shocks in TASEP

The TASEP particle system runs into traffic jams when the density of its initial particle configuration increases in the direction of flow. It serves as a microscopic model of shocks in Burgers equation. I will describe work with Jeremy Quastel where, for a basic setup, we identity fluctuations of the shock by using determinantal formulas for correlation functions. These are described in terms of random matrix laws.