Selfavoiding walks on a crystal lattice; a new approach to the mean- square end-to-end length ρn

Abstract

It is pointed out that the exponent gamma (for which the mean-square end-to-end length of an n step walk approximately= constant ngamma ) is associated also with other purely topological properties of the lattice. It is therefore suggested that a better numerical estimate of gamma may be possible, since the problem of the 'distance' between two sites of a network has been bypassed.