Shape Fluctuations and Random Matrices
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- Johansson, K. Comm Math Phys (2000) 209: 437. doi:10.1007/s002200050027
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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).