Shape Fluctuations and Random Matrices

  title={Shape Fluctuations and Random Matrices},
  author={Kurt Johansson},
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). 
Highly Influential
This paper has highly influenced 62 other papers. REVIEW HIGHLY INFLUENTIAL CITATIONS
Highly Cited
This paper has 501 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.


Publications citing this paper.

502 Citations

Citations per Year
Semantic Scholar estimates that this publication has 502 citations based on the available data.

See our FAQ for additional information.


Publications referenced by this paper.
Showing 1-10 of 32 references

Orthogonal polynomials and random matrices: a Riemann-Hilbert approach

  • P A Deift
  • Courant Lecture Notes in Mathematics
  • 1999

Coupling the totally asymmetric simple exclusion process with a moving interface, Markov Process

  • T Seppäläinen
  • Coupling the totally asymmetric simple exclusion…
  • 1998

Large Deviations for Increasing Subsequences on the Plane, Probab. Theory Relat

  • T Seppäläinen
  • Large Deviations for Increasing Subsequences on…
  • 1998

On Fluctuations of Eigenvalues of Random Hermitian Matrices , Duke Math

  • K Johansson
  • J
  • 1998

Uniform Asymptotic Expansions for Meixner Polynomials

  • X.-S Jin, R Wang
  • Constr. Approx
  • 1998

A Large Deviation Theorem for the Empirical Eigenvalue Distribution of Random Unitary Matrices

  • F Hiai, D Petz
  • Math. Inst. of the Hungarian Academy of Sciences
  • 1997

Directed Polymers in a Random Environment: Some Results on Fluctuations

  • M S T Piza
  • J. Stat. Phys
  • 1997

Similar Papers

Loading similar papers…