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arXiv · 1311.6748

Estimates of threshold and strength of percolation clusters on square lattices with (1,d)-neighborhood

P. V. Moskalev
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Abstract

In this paper we consider statistical estimates of threshold and strength of percolation clusters on square lattices. The percolation threshold $p_c$ and the strength of percolation clusters $P_\infty$ for a square lattice with $(1, d)$-neighborhood depends not only on the lattice dimension, but also on the Minkowski exponent $d$. To estimate the strength of percolation clusters $P_\infty$ 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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P. V. Moskalev. 2013-12-20. Estimates of threshold and strength of percolation clusters on square lattices with (1,d)-neighborhood. https://arxiv.org/abs/1311.6748

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