Punctured discs on the square lattice
- 7 April 1990
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 23 (7) , 1287-1294
- https://doi.org/10.1088/0305-4470/23/7/031
Abstract
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.Keywords
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