Among all two-dimensional convex domains the disk is not optimal for the lifetime of a conditioned Brownian motion (Q698330)
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scientific article; zbMATH DE number 1802590
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Among all two-dimensional convex domains the disk is not optimal for the lifetime of a conditioned Brownian motion |
scientific article; zbMATH DE number 1802590 |
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Among all two-dimensional convex domains the disk is not optimal for the lifetime of a conditioned Brownian motion (English)
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27 July 2003
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The following result is proved. A disk does not minimize the lifetime of a conditional Brownian motion among all convex planar domains of given area. A corresponding counterexample is constructed.
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conditional Brownian motion
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lifetime
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Dirichlet problem
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Green function
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0.85744447
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0.8569444
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0.85197026
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0.8419627
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0.8332648
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0.83206767
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0.8305254
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0.8300046
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0.8300046
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