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Estimates of threshold and strength of percolation clusters on square lattices with (1,π)-neighborhood
Computer Research and Modeling, 2014, v. 6, no. 3, pp. 405-414Views (last year): 4. Citations: 5 (RSCI).In this paper we consider statistical estimates of threshold and strength of percolation clusters on square lattices. The percolation threshold pc and the strength of percolation clusters P∞ for a square lattice with (1,π)-neighborhood depends not only on the lattice dimension, but also on the Minkowski exponent d. To estimate the strength of percolation clusters P∞ proposed a new method of averaging the relative frequencies of the target subset of lattice sites. The implementation of this method is based on the SPSL package, released under GNU GPL-3 using the free programming language R.
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International Interdisciplinary Conference "Mathematics. Computing. Education"