Shape Fluctuations and Random Matrices
Combinatorics
2009-10-31 v2 Probability
Abstract
We study a certain random groeth model in two dimensions closely related to the one-dimensional totally asymmetric exclusion process. The results show that the shape fluctuations, appropriately scaled, converges in distribution to the Tracy-Widom largest eigenvalue distribution for the Gaussian Unitary Ensemble.
Cite
@article{arxiv.math/9903134,
title = {Shape Fluctuations and Random Matrices},
author = {Kurt Johansson},
journal= {arXiv preprint arXiv:math/9903134},
year = {2009}
}
Comments
Revised version. 51 pages