Brownian motion on manifolds with time-dependent metrics and stochastic completeness (Q632941)
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scientific article; zbMATH DE number 5870948
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Brownian motion on manifolds with time-dependent metrics and stochastic completeness |
scientific article; zbMATH DE number 5870948 |
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Brownian motion on manifolds with time-dependent metrics and stochastic completeness (English)
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28 March 2011
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In this note, the author investigates the condition(s) under which the Brownian motion on a manifold with time-dependent metrics is stochastically complete. Stochastic completeness concerns conservation (or loss) of heat. He gives conditions on metrics and the volume growth of the \(r\)-ball for stochastic completeness.
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heat equation
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Brownian motion
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manifold
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stochastic completeness
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time-dependent metrics
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