Short-Time Geometry of Random Heat Kernals |
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| Series title: | Memoirs of the American Mathematical Society Ser. |
| ISBN: | 978-0-8218-0649-4 |
| Publication Date: | Mar 1998 |
| Publisher: | American Mathematical Society
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| Book Format: | Paperback |
| List Price: | AUD $75.00 |
Book Description:
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Studies the behavior of the random heat kernel associated with the stochastic partial differential equation $du=\tfrac {{1}}{{2}} {{\Delta}}udt = (\sigma, \nabla u) \circ dW_t$, on some Riemannian manifold $M$. Here $\Delta$ is the Laplace-Beltrami operator, $\sigma$ is some vector field on $M$, and $\nabla$ is the gradient operator.
Studies the behavior of the random heat kernel associated with the stochastic partial differential equation $du=\tfrac {{1}}{{2}} {{\Delta}}udt = (\sigma, \nabla u) \circ dW_t$, on some Riemannian manifold $M$. Here $\Delta$ is the Laplace-Beltrami operator, $\sigma$ is some vector field on $M$, and $\nabla$ is the gradient operator.