Revision of upper estimate of percolation threshold on square lattice

Details Revision of upper estimate of percolation threshold on square lattice Revision of upper estimate of percolation threshold on square lattice

2002-04-16

arxiv.org/abs/math-ph/0204033v1

Physics

Mathematical Physics

9 pages, 1 figure

Scientific paper

The more exact upper estimate of the percolation threshold for the {\it site
problem} on the quadratic lattice ${\Bbb Z}^2$ have been found on the basis of
the cluster decomposition. It is done by the number estimate of cycles on
${\Bbb Z}^2$ which maybe external boundaries of finite clusters

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