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Anisotropy and percolation threshold in a multifractal support

Recently a multifractal object, Qmf, was proposed to allow the study of percolation properties in a multifractal support. The area and the number of neighbors of the blocks of Qmf show a non-trivial behavior. The value of the probability of occupation at the percolation threshold, p c, is a function of r, a parameter of Qmf which is related to its anisotropy. We investigate the relation between p c and the average number of neighbors of the blocks as well as the anisotropy of Qmf.


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