%0 Journal Article
%A kAZEMI, Ramin
%T Introduction to site and bond percolation on the lattice $mathbb{Z}^2$
%J Andishe-ye-amari
%V 26
%N 1
%U http://andisheyeamari.irstat.ir/article-1-863-en.html
%R
%D 2021
%K Site and bond percolation, critical probabilities, lattice $mathbb{Z}^2$.,
%X The main goal of this paper is to investigate the site and bond percolation of the lattice $mathbb{Z}^2$. The main symbols and concepts, including critical probabilities, are introduced. Bethe lattice and $k$-branching trees are examined and finally lattice $mathbb{Z}^2$ is considered. The fundamental theorem of Harris and Kesten that presents the lower and upper bounds of the critical probability on the lattice $mathbb{Z}^2$ expresses and proves.
%> http://andisheyeamari.irstat.ir/article-1-863-en.pdf
%P 61-70
%& 61
%!
%9 Research
%L A-10-606-4
%+ Imam Khomeini international university
%G eng
%@ 1026-8944
%[ 2021