Shape Fluctuations and Random Matrices

Preprint

23 March 1999

preprint
Published by arXiv in arXiv

Abstract

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.

Keywords

DIMENSIONAL TOTALLY
SHAPE FLUCTUATIONS
LARGEST EIGENVALUE
EXCLUSION PROCESS
UNITARY ENSEMBLE
RANDOM MATRICES
WIDOM LARGEST

All Related Versions

Version 1, 1999-03-23, ArXiv
Version 2, 1999-10-27, ArXiv
Published version: Communications in Mathematical Physics, 209 (2), 437.

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