Shape Fluctuations and Random Matrices
classification
🧮 math.CO
math.PR
keywords
distributionfluctuationsrandomshapeappropriatelyasymmetriccertainclosely
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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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