Shape Fluctuations and Random Matrices

Details Shape Fluctuations and Random Matrices Shape Fluctuations and Random Matrices

1999-03-23

arxiv.org/abs/math/9903134v2

Commun.Math.Phys. 209, 437 - 476 (2000)

Mathematics

Combinatorics

Revised version. 51 pages

Scientific paper

10.1007/s002200050027

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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