Simplicial quantum gravity in more than two dimensions

The dynamical triangulation (DT) model of two-dimensional quantum gravity is generalized to higher dimensions. In three dimensions two updates are described which appear to allow for ergodic sampling of states, and an updating procedure which obeys detailed balance is given. The tensor-model generalization of the matrix-model formulation of higher-dimensional gravity is discussed and the relations between DT-, continuum-, and tensor-model couplings are given.