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.
| Original language | English |
|---|---|
| Pages (from-to) | 71-99 |
| Number of pages | 29 |
| Journal | Physica A: Statistical Mechanics and its Applications |
| Volume | 369 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1 Sep 2006 |
Keywords
- Determinantal processes
- Edge scaling
- Matrix-valued Brownian motion
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