Asymptotic behavior of the mean-square lengths of self-avoiding walks terminally attached to a surface

Abstract

We present some exact enumeration data on the mean-square lengths of self-avoiding walks on a lattice confined to a half-space (or half-plane) with the walk originating on the dividing plane (or line). We argue that the exponent characterising the asymptotic behavior is unchanged by this spatial constraint. © 1978 American Institute of Physics.