Abstract
We discuss the space-time determinantal random field which arises for the PNG model in one dimension and resembles the one for Dyson’s Brownian motion. The information of interest for growth processes is carried by the edge statistics of the random field and therefore their universal scaling is related to the edge properties of Gaussian multi-matrix models.
| Original language | English |
|---|---|
| Title of host publication | XIVth International Congress on Mathematical Physics |
| Subtitle of host publication | Lisbon, 28 July - 2 August 2003 |
| Publisher | World Scientific Publishing Co. |
| Pages | 404-411 |
| Number of pages | 8 |
| ISBN (Electronic) | 9789812704016 |
| ISBN (Print) | 981256201X, 9789812562012 |
| DOIs | |
| State | Published - 1 Jan 2006 |