Boundary correlation functions of integrable vertex models

We review our recent work on the boundary correlation functions of integrable vertex models on an N x N lattice with domain wall boundary conditions. Particularly considered is the six vertex model. The general_ expression of the boundary correlation functions is obtained for the six vertex model by use of the quantum inverse scattering method. We also comment on the potential application of the boundary correlation functions, and the relation between the boundary correlation functions for the nineteen vertex model.