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Shape Fluctuations and Random Matrices

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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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Authors and Affiliations

  1. Department of Mathematics, Royal Institute of Technology, 100 44 Stockholm, Sweden.¶E-mail:kurtj@math.kth.se, , , , , , SE

    Kurt Johansson

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  1. Kurt Johansson
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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

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