Poissonian statistics in the extremal process of branching Brownian motion (Q453253)
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scientific article; zbMATH DE number 6083948
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Poissonian statistics in the extremal process of branching Brownian motion |
scientific article; zbMATH DE number 6083948 |
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Poissonian statistics in the extremal process of branching Brownian motion (English)
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19 September 2012
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The authors consider the extremal process of a branching Brownian motion and prove that the point process obtained by retaining only those extremal particles which are also maximal inside the clusters converges in the limit of large \(t\) to a random shift of a Poisson point process with exponential density.
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branching Brownian motion
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extreme-value theory
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extremal processes
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traveling waves
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0.9327769
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0.9171054
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0.9034528
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0.90344965
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0.89979196
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0.89954966
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