A Note on Inhomogeneous Percolation
Zhang, Yu
Ann. Probab., Tome 22 (1994) no. 4, p. 803-819 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
Consider a special independent bond percolation model on $Z^2$, in which all bonds with vertices in the $X$ axis are open with probability $\delta$ and closed with probability $1 - \delta$, and all other bonds are open with probability $p$ and closed with probability $1 - p$. In this paper we show that no percolation occurs at $p_c$ for any $\delta < 1$. The method allows us also to show no percolation at $p_c$ in a more general inhomogeneous case.
Publié le : 1994-04-14
Classification:  Inhomogeneous percolation,  60K35 
@article{1176988730,
     author = {Zhang, Yu},
     title = {A Note on Inhomogeneous Percolation},
     journal = {Ann. Probab.},
     volume = {22},
     number = {4},
     year = {1994},
     pages = { 803-819},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176988730}
}

Zhang, Yu. A Note on Inhomogeneous Percolation. Ann. Probab., Tome 22 (1994) no. 4, pp.  803-819. http://gdmltest.u-ga.fr/item/1176988730/