Geodesic
Revision of upper estimate of percolation threshold on square lattice
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 10 (2003) no. 1, pp. 29-39 Cet article a éte moissonné depuis la source Math-Net.Ru

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The more exact upper estimate of the percolation threshold for the site problem on the quadratic lattice ${\mathbb Z}^2$ have been found on the basis of the cluster decomposition. It is done by the number estimate of cycles on ${\mathbb Z}^2$ which maybe external boundaries of finite clusters. 
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     author = {Yu. P. Virchenko and Yu. A. Tolmacheva},
     title = {Revision of upper estimate of percolation threshold on square lattice},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {29--39},
     year = {2003},
     volume = {10},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2003_10_1_a2/}
}
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Yu. P. Virchenko; Yu. A. Tolmacheva. Revision of upper estimate of percolation threshold on square lattice. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 10 (2003) no. 1, pp. 29-39. http://geodesic.mathdoc.fr/item/JMAG_2003_10_1_a2/