Limit processes for KPZ models with flat initial conditions (Probability Colloquium Augsburg-Munich)

We consider stochastic growth models in the Kardar-Parisi-Zhang universality class, like the asymmetric simple exclusion process or the last passage percolation. We will give an overview of older and recent results on the limit process and its properties for KPZ growth models with flat initial conditions, ranging from regularity, decorrelation in space and time, to the persistence probability of the limit processes.