AU - kAZEMI, Ramin
TI - Introduction to site and bond percolation on the lattice $mathbb{Z}^2$
PT - JOURNAL ARTICLE
TA - Andishe-_ye-Amari
JN - Andishe-_ye-Amari
VO - 26
VI - 1
IP - 1
4099 - http://andisheyeamari.irstat.ir/article-1-863-en.html
4100 - http://andisheyeamari.irstat.ir/article-1-863-en.pdf
SO - Andishe-_ye-Amari 1
AB - 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.
CP - IRAN
IN -
LG - eng
PB - Andishe-_ye-Amari
PG - 61
PT - Research
YR - 2021