Self-avoiding walks and polygons on non-Euclidean lattices

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Published under licence by IOP Publishing Ltd
, , Citation Ewa Swierczak and Anthony J Guttmann 1996 J. Phys. A: Math. Gen. 29 7485 DOI 10.1088/0305-4470/29/23/015

0305-4470/29/23/7485

Abstract

Self-avoiding walks and polygons on four non-Euclidean lattices are studied by the method of series expansions. It appears that the polygons and walks have different critical points from each other, and that both are in a different universality class to their Cartesian lattice counterparts. An exact solution is given for one lattice.

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10.1088/0305-4470/29/23/015