Asymptotic Flux across Hypersurfaces for Diffusion Processes
نویسندگان
چکیده
We suggest a rigorous definition of the pathwise flux across the boundary of a bounded open set for transient finite energy diffusion processes. The expectation of such a flux has the property of depending only on the current velocity v, the nonsymmetric (with respect to time reversibility) part of the drift. In the case where the diffusion has a limiting velocity we define the asymptotic flux across subsets of the sphere of radius R, when R tends to infinity, and compute its expectation in terms of v.
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