Peter Nejjar (IST Austria): Shock Fluctuations in TASEP

We consider the totally asymmetric simple exclusion process (TASEP) with  a non-random initial condition that has a discontinuity (shock) in the particle density. If one inserts a "second class particle"  in the system, it will follow the shock. For large time $t$, we show that the position of the second class particle fluctuates on the $t^{1/3}$ scale and we determine its limiting law. Joint work with Patrik Ferrari and Promit Ghosal.