Fluctuations of the one-dimensional asymmetric exclusion process using random matrix techniques

Understand

The studies of fluctuations of the one-dimensional Kardar-Parisi-Zhang universality class using the techniques from random matrix theory are reviewed from the point of view of the asymmetric simple exclusion process.

• We explain the basics of random matrix techniques, the connections to the polynuclear growth models and a method using the Green's function.