Critical behavior for an oriented percolation with long-range interactions in dimension \(d>2\) (Q861443)
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scientific article; zbMATH DE number 5119527
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Critical behavior for an oriented percolation with long-range interactions in dimension \(d>2\) |
scientific article; zbMATH DE number 5119527 |
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Critical behavior for an oriented percolation with long-range interactions in dimension \(d>2\) (English)
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29 January 2007
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The oriented percolation model is introduced, which may be regarded as an infinite layer long-range model on \(\mathbb{Z}^d\times\mathbb{Z}\), \(d>2\), where the bond occupation probability decays as the \(\alpha\)-stable distribution with \(\alpha=1\). The lace expansion is used to get an \(L^1\) infrared bound estimate for the dimension \(d>2\).
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oriented percolation
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long-range interactions
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critical behavior
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