  In the totally asymmetric simple exclusion process (TASEP) two processes
arise in the large time limit: the Airy_1 and Airy_2 processes. The Airy_2
process is an universal limit process occurring also in other models: in a
stochastic growth model on 1+1-dimensions, 2d last passage percolation,
equilibrium crystals, and in random matrix diffusion. The Airy_1 and Airy_2
processes are defined and discussed in the context of the TASEP. We also
explain a geometric representation of the TASEP from which the connection to
growth models and directed last passage percolation is immediate.
