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E J J van Rensburg1 and S G Whittington1
Published under licence by IOP Publishing Ltd
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Citation E J J van Rensburg and S G Whittington 1990 J. Phys. A: Math. Gen. 23 1287
DOI 10.1088/0305-4470/23/7/031
37 Total downloads
The authors study the perimeter length of self-avoiding surfaces on the square lattice. They prove that surfaces with area n, containing h boundary components, have a mean perimeter length of order n. They arrive at this result by studying the incidence of 4-cycles in two-dimensional site animals.