Majorant estimates for the percolation threshold of a Bernoulli field on a square lattice

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 of constructing approximations with the guaranteed exactness estimate for a percolation probability...

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Bibliographic Details
Date:2005
Main Authors: Virchenko, Yu. P., Tolmacheva, Yu. A., Вирченко, Ю. П., Толмачева, Ю. А.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2005
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3687
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal