# Large time fluctuations of the totally asymmetric simple exclusion process.

## Speaker:

## Institution:

## Time:

## Location:

The totally asymmetric simple exclusion process (TASEP) is one of the

simplest models of interacting particle systems on the one-dimensional

lattice. It is equivalent to a random growth model from the

Kardar-Parisi-Zhang universality class. We focus on fluctuations of the

particle positions for a nonequilibrium TASEP that starts from certain

deterministic initial conditions. We (rigorously) derive the scaling

exponents 1/3 and 2/3, and identify the limit laws as those of Gaussian

Orthogonal and Unitary ensembles of the random matrix theory.