Anisotropic Percolation on Slabs

Rodrigo G. Couto; Bernardo N. B. de Lima; Rémy Sanchis

Anisotropic Percolation on Slabs

Probability 2013-09-05 v1

Authors: Rodrigo G. Couto , Bernardo N. B. de Lima , Rémy Sanchis

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.

Keywords

percolation theory

Cite

@article{arxiv.1309.1118,
  title  = {Anisotropic Percolation on Slabs},
  author = {Rodrigo G. Couto and Bernardo N. B. de Lima and Rémy Sanchis},
  journal= {arXiv preprint arXiv:1309.1118},
  year   = {2013}
}

Comments

7 pages

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