Communications in Mathematical Physics

, Volume 209, Issue 2, pp 437–476 | Cite as

Shape Fluctuations and Random Matrices

  • Kurt Johansson

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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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Kurt Johansson
    • 1
  1. 1.Department of Mathematics, Royal Institute of Technology, 100 44 Stockholm, Sweden.¶E-mail:kurtj@math.kth.seSE

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