Estimates of threshold and strength of percolation clusters on square lattices with (1,)-neighborhood
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,)-neighborhood depends not only on the lattice dimension, but also on the Minkows...
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| Format: | Article |
| Language: | Russian |
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Institute of Computer Science
2014-06-01
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| Series: | Компьютерные исследования и моделирование |
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| Online Access: | http://crm.ics.org.ru/uploads/crmissues/crm_2014_3/14306.pdf |
| Summary: | 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,)-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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| ISSN: | 2076-7633 2077-6853 |