Description:
<jats:p>A statistical study is carried out for self-avoiding walks on infintely long square lattice strips, two and three lines wide. The two-layer problem is solved completely and the three-layer problem asymptotically. In each instance, the mean square end-to-end separation of a walk is found, as expected, to be asymptotically proportional to the square of the number of steps for long walks; in other words, 〈x2〉=an2, where 〈x2〉 is the mean square x component of net distance traversed and n is the number of steps (assumed to be large). For the two-layer problem, a=0.5236, and for the three-layer problem, a=0.3899.</jats:p>