Abstract
Consider the process Dk, k = 1,2, . . ., given by (equation presented) Bi being independent standard Brownian motions. This process describes the limiting behavior "near the edge" in queues in series, totally asymmetric exclusion processes or oriented percolation. The problem of finding the distribution of D. was posed in [GW]. The main result of this paper is that the process D. has the law of the process of the largest eigenvalues of the main minors of an infinite random matrix drawn from Gaussian Unitary Ensemble.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 256-274 |
| Number of pages | 19 |
| Journal | Probability Theory and Related Fields |
| Volume | 119 |
| Issue number | 2 |
| DOIs | |
| State | Published - Feb 2001 |
| Externally published | Yes |
ASJC Scopus subject areas
- Analysis
- Statistics and Probability
- Statistics, Probability and Uncertainty