Self-avoiding random walks on lattice strips
Abstract
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.
Footnotes
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↵ * Current address: Department of Chemistry, San Diego State University, San Diego, CA 92182.
