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

T. Sasamoto

Published 2007-05-21, updated 2007-07-28Version 2

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.