Wednesday, April 17, 2019 - 14:00 in V3-201
Shock Statistics in (T)ASEP
A talk in the Bielefeld Stochastic Afternoon series by
Peter Nejjar
| Abstract: |
We consider the (totally) asymmetric simple exclusion process ((T)ASEP), an interacting particle system equivalent to a growth model in the Kardar-Parisi-Zhang (KPZ) universality class. ASEP's macroscopic particle density follows the Burgers equation, which can have shocks. We are interested in the fluctuations of particles around the macroscopic shock position. For TASEP, we show that an asymptotic independence governs these fluctuations, resulting in product limit laws. Finally, we discuss recent progress to extend these results to the general ASEP.
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