Inhomogeneous bond percolation on square, triangular and hexagonal lattices (Q359696)
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scientific article; zbMATH DE number 6200786
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Inhomogeneous bond percolation on square, triangular and hexagonal lattices |
scientific article; zbMATH DE number 6200786 |
Statements
Inhomogeneous bond percolation on square, triangular and hexagonal lattices (English)
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22 August 2013
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Inhomogeneous bond percolation (with edge-probabilities depending on edge-orientation) on square, triangular and hexagonal lattices are considered. Using the star-triangle transformation an equivalence extending over the set of all such percolation models is obtained. Box-crossing inequalities for such models (with parameter-values at which the transformation is valid) are established. This is useful to prove the universality and conformality of these processes.
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bond percolation
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inhomogeneous percolation
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box-crossing
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star-triangle transformation
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Yang-Baxter equation
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criticality
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universality
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