Surface order large deviations for high-density percolation (Q1912574)
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scientific article; zbMATH DE number 878014
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Surface order large deviations for high-density percolation |
scientific article; zbMATH DE number 878014 |
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Surface order large deviations for high-density percolation (English)
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22 July 1996
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We derive surface order large deviation estimates for the volume of the largest cluster and for the volume of the largest region surrounded by a cluster of a Bernoulli percolation process restricted to a big finite box, with sufficiently large parameter. We also establish a useful version of the isoperimetric inequality, which is the main tool of our proofs.
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large deviation estimates
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Bernoulli percolation process
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isoperimetric inequality
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0.94964087
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0.94142103
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0.90155894
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0.89345914
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0.88419634
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