  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.
