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arXiv · 1309.1118

Anisotropic Percolation on Slabs

Rodrigo G. Couto·Bernardo N. B. de Lima·Rémy Sanchis
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Abstract

We consider anisotropic independent bond percolation models on the slab $\Z^2\times\{0,\dots,k\}$, where we suppose that the axial (vertical) bonds are open with probability $p$, while the radial (horizontal) bonds are open with probability $q$. We study the critical curves for these models and establish their continuity and strict monotonicity.

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Rodrigo G. Couto, Bernardo N. B. de Lima, Rémy Sanchis. 2013-09-04. Anisotropic Percolation on Slabs. https://arxiv.org/abs/1309.1118

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