*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.