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Revision of upper estimate of percolation threshold on square lattice

Yu. P. Virchenko, Yu. A. Tolmacheva

math-pharXiv:math-ph/0204033

Abstract

The more exact upper estimate of the percolation threshold for the site problem on the quadratic lattice Z2 have been found on the basis of the cluster decomposition. It is done by the number estimate of cycles on Z2 which maybe external boundaries of finite clusters

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