Shape Fluctuations and Random Matrices

@inproceedings{Johansson1999ShapeFA,
  title={Shape Fluctuations and Random Matrices},
  author={Kurt Johansson},
  year={1999}
}
We study a certain random growth 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 (GUE). 
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