### On shocks in TASEP

Probability Seminar

27th March 2020, 3:30 pm – 4:30 pm

Fry Building, LG.22

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.

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