Recent results on the short-time geometry of random heat kernels (Q1897737)
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scientific article; zbMATH DE number 794194
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Recent results on the short-time geometry of random heat kernels |
scientific article; zbMATH DE number 794194 |
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Recent results on the short-time geometry of random heat kernels (English)
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22 October 1995
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This is an announcement of results submitted for publication elsewhere. The author considers the random heat kernel associated with the Stratonovich equation \(du= {1\over 2} \Delta udt+ (\sigma, \nabla u)\circ dW_t\) on a Riemannian manifold. Almost sure short-time asymptotics is given. Comparing with the deterministic equation, the formula contains an exponential correction term.
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heat kernel
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Stratonovich equation
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