Abstract
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.
Citation
Yu Zhang. "A Note on Inhomogeneous Percolation." Ann. Probab. 22 (2) 803 - 819, April, 1994. https://doi.org/10.1214/aop/1176988730
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