| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 977148 | Physica A: Statistical Mechanics and its Applications | 2006 | 29 Pages |
Abstract
Three models from statistical physics can be analyzed by employing space-time determinantal processes: (1) crystal facets, in particular the statistical properties of the facet edge, and equivalently tilings of the plane, (2) one-dimensional growth processes in the Kardar-Parisi-Zhang universality class and directed last passage percolation, (3) random matrices, multi-matrix models, and Dyson's Brownian motion. We explain the method and survey results of physical interest.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Herbert Spohn,