Fluctuations in the Discrete TASEP with Periodic Initial Configurations and the Airy1 Process
Fluctuations in the Discrete TASEP with Periodic Initial Configurations and the Airy1 Process
We consider the totally asymmetric simple exclusion process (TASEP) in discrete time with sequential update. The joint distribution of the positions of selected particles is expressed as a Fredholm determinant with a kernel defining a signed determinantal point process. We focus on periodic initial conditions where particles occupy dℤ, d …