Title: Polymer adsorption --- random copolymers and random surfaces
Abstract: We consider a self-avoiding walk model of adsorption at a surface. We compare two cases of quenched randomness --- where the randomness resides in the polymer and where it resides in the surface. For the first case the self-avoiding walk is randomly coloured so that the vertices can be of two kinds, only one of which interacts with the surface. In the second case the vertices of the surface are randomly coloured in a similar way, so that only one kind of surface vertex interacts with the vertices of the walk. There are interesting differences between the two cases. We also compare with an annealed problem which we claim could be physically realised.