Anisotropic Percolation on Slabs
R.G. Couto, R. Sanchis, B.N.B. de Lima
2014, v.20, Issue 1, 145-154
ABSTRACT
We consider anisotropic independent bond percolation models on the slab $\Z^2\times\{0,\dots,k\}$, where we suppose that the vertical bonds are open with probability $p$, while the horizontal bonds are open with probability $q$. We study the critical curves for these models and establish their continuity and strict monotonicity.
Keywords: long range percolation,percolation threshold
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