Abstract

For pt.I see Discrete Appl. Maths., vol.19, p.367 (1988). The author reports the results of taking the reciprocal of generating function for self-avoiding walks on the plane square lattice with end-to-end distance specified. In a previous paper it was shown that this produces the generating function for irreducible two-point Mayer clusters. This function is found to be far simpler than the original generating function. It is found that a renormalisation or self-consistent field calculation should give very good results and that further small corrections due to the existence of 'traps', can also be computed. It is further found that the generating function has an unphysical singularity very near to the physical singularity and that this accounts for difficulties of series analysis that have been experienced, for example, by Guttmann (1987).

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