Abstract:
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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Received: 12 March 1999 / Accepted: 19 August 1999
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Johansson, K. Shape Fluctuations and Random Matrices. Comm Math Phys 209, 437–476 (2000). https://doi.org/10.1007/s002200050027
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DOI: https://doi.org/10.1007/s002200050027