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Communications in Mathematical Physics, Vol. 209, No. 2. (27 Oct 1999), pp. 437-476, doi:10.1007/s002200050027 Key: citeulike:11894092
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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.
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