Self-avoiding random walks on lattice strips.
A self-avoiding walk on an infinitely long lattice strip of finite width will asymptotically exhibit an end-to-end separation proportional to the number of steps. A proof of this proposition is presented together with comments concerning an earlier attempt to deal with the matter. In addition, some unproved, yet "obvious," conjectures concerning self-avoiding walks are cited as basic propositions requiring study.
Wall
F T
FT
Department of Chemistry, William Marsh Rice University, Houston, Texas 77001.
Klein
D J
DJ