M. Bousquetmelou et Aj. Guttmann, 3-DIMENSIONAL SELF-AVOIDING CONVEX POLYGONS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 55(6), 1997, pp. 6323-6326
We calculate the generating function of three-dimensional self-avoidin
g convex polygons. This both adds to the very short list of exactly so
lved three-dimensional statistical mechanics systems and illuminates t
he properties of self-avoiding polygons, the paradigm model of ring po
lymers.