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

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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41 pages, 10 figures, minor corrections, references added

Scientific paper

10.1088/1742-5468/2007/07/P07007

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.

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