Multi-point distribution of periodic TASEP

Understand

The height fluctuations of the models in the KPZ class are expected to converge to a universal process.

• The spatial process at equal time is known to converge to the Airy process or its variations.
• However, the temporal process, or more generally the two-dimensional space-time fluctuation field, is less well understood.
• We consider this question for the periodic TASEP (totally asymmetric simple exclusion process).