Self-avoiding walks interacting with a surface

Discusses two models of polymer adsorption. In one model a self-avoiding walk on a D-dimensional lattice interacts with a (D-1)-dimensional hyperplane; in the other model, this walk must also lie in or on one side of this hyperplane. Both models exhibit non-analytic behaviour corresponding to a phase transition, but these phase transitions do not occur at the same point. The authors give numerical estimates of the locations of these transitions.