Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 10 (2003) no. 1, pp. 29-39
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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/
@article{JMAG_2003_10_1_a2,
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/}
}
TY - JOUR
AU - Yu. P. Virchenko
AU - Yu. A. Tolmacheva
TI - Revision of upper estimate of percolation threshold on square lattice
JO - Žurnal matematičeskoj fiziki, analiza, geometrii
PY - 2003
SP - 29
EP - 39
VL - 10
IS - 1
UR - http://geodesic.mathdoc.fr/item/JMAG_2003_10_1_a2/
LA - en
ID - JMAG_2003_10_1_a2
ER -
%0 Journal Article
%A Yu. P. Virchenko
%A Yu. A. Tolmacheva
%T Revision of upper estimate of percolation threshold on square lattice
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 2003
%P 29-39
%V 10
%N 1
%U http://geodesic.mathdoc.fr/item/JMAG_2003_10_1_a2/
%G en
%F JMAG_2003_10_1_a2
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.
