Shape Fluctuations and Random Matrices
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).
- Publication:
-
Communications in Mathematical Physics
- Pub Date:
- 2000
- DOI:
- 10.1007/s002200050027
- arXiv:
- arXiv:math/9903134
- Bibcode:
- 2000CMaPh.209..437J
- Keywords:
-
- Mathematics - Combinatorics;
- Mathematics - Probability;
- 60K35;
- 82C22
- E-Print:
- Revised version. 51 pages