On the incipient cluster of the binary tree (Q1340190)
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scientific article; zbMATH DE number 701025
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the incipient cluster of the binary tree |
scientific article; zbMATH DE number 701025 |
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On the incipient cluster of the binary tree (English)
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28 February 1995
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We consider the subcritical percolation process on a binary tree and prove the existence of a probability measure \(\nu_ p\) such that \(\nu_ p\)-almost surely the open cluster of the root of the binary tree is infinite. At the percolation threshold it looks like a single thread having a lot of finite branches.
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subcritical percolation process
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binary tree
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percolation threshold
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