Inhomogeneous bond percolation on square, triangular and hexagonal lattices

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Inhomogeneous Bond Percolation on Square, Triangular, and Hexagonal Lattices

The star–triangle transformation is used to obtain an equivalence extending over the set of all (in)homogeneous bond percolation models on the square, triangular, and hexagonal lattices. Amongst the consequences are box-crossing (RSW) inequalities for such models with parameter-values at which the transformation is valid. This is a step towards proving the universality and conformality of these...

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Inhomogeneous Bond Percolation on Square, Triangular and Hexagonal Lattices by Geoffrey

The star–triangle transformation is used to obtain an equivalence extending over the set of all (in)homogeneous bond percolation models on the square, triangular and hexagonal lattices. Among the consequences are boxcrossing (RSW) inequalities for such models with parameter-values at which the transformation is valid. This is a step toward proving the universality and conformality of these proc...

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ژورنال

عنوان ژورنال: The Annals of Probability

سال: 2013

ISSN: 0091-1798

DOI: 10.1214/11-aop729