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P Grassberger1
Published under licence by IOP Publishing Ltd
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Citation P Grassberger 1986 J. Phys. A: Math. Gen. 19 2675
DOI 10.1088/0305-4470/19/13/032
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A recently proven equivalence between certain random walks with memory and the hull of percolation clusters in two dimensions is used to estimate the fractal dimension of the latter by means of Monte Carlo simulations. The authors calculate the value DH=1.750+or-0.002, in agreement with a recent conjecture that DH=7/4 exactly.