Key points are not available for this paper at this time.
The formula for the fractal dimensionality of the perimeter (hull) of a percolation cluster, d₅^'=1+1/, proposed recently by Sapoval, Rosso, and Gouyet, is shown to imply for the perimeter scaling exponents '=1+2/ (1+), '=1/ (1+), and '=2. Monte Carlo simulations of very large perimeter-generating walks yield '=2. 1430. 002 and d₅^'=1. 7510. 002, consistent with these predictions (on the assumption that = (4/3) ). The walks are also used to determine p₂=0. 5927 50. 0000 3 for site percolation on a square lattice.
Robert M. Ziff (Mon,) studied this question.