Journal of Statistical Physics, Vol. 71, Nos. 1/2, 1993. p. 1-21.
The large-scale behavior of surface-interacting self-avoiding polymer chains placed on finitely ramified fractal lattices is studied using exact recursion relations. It is shown how to obtain surface susceptibility critical indices and how to modify a scaling relation for these indices in the case of fractal lattices. We present the exact results for critical exponents at the point of adsorption transition for polymer chains situated on a class of Sierpinski gasket-type fractals. We provide numerical evidence for a critical behavior of the type
found recently in the case of bulk self-avoiding random walks at the fractal to Euclidean crossover.