TY - JOUR
AU - Yu. P. Virchenko
AU - Yu. A. Tolmacheva
PY - 2005/10/25
Y2 - 2024/10/07
TI - Majorant estimates for the percolation threshold of a Bernoulli field on a square lattice
JF - Ukrainsâ€™kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 57
IS - 10
SE - Research articles
DO -
UR - https://umj.imath.kiev.ua/index.php/umj/article/view/3687
AB - We suggest a method for obtaining a monotonically decreasing sequence of upper bounds of percolation threshold of the Bernoulli random field on $Z^2$. On the basis of this sequence, we obtain a method ofconstructing approximations with the guaranteed exactness estimate for a percolation probability. We compute the first term $c_2 = 0,74683$ of the considered sequence.
ER -