In this note, we investigate Bernoulli oriented bond percolation with parameter $p$ on $\mathbb{ Z}^2$. In addition to the standard edges, which are open with probability $p$, we introduce diagonal edges each open with probability $\varepsilon$. Every edge is open or closed independently of all other edges. We prove that the critical parameter for this model is strictly decreasing in $\varepsilon$.
Categories: math.PR