Stochastic Growth in One Dimension and Gaussian Multi-Matrix Models
arXiv:math-ph/0310053
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.
Proceeding of ICMP 2003
References in corpus (6)
- Discrete polynuclear growth and determinantal processes
- Exact scaling functions for one-dimensional stationary KPZ growth
- Differential Equations for Dyson Processes
- Fluctuations of a one-dimensional polynuclear growth model in a half space
- On Asymptotics for the Airy Process
- Effect of a columnar defect on the shape of slow-combustion fronts