Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic flux across hypersurfaces for diffusion processes   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 (as regards time reversibility) part of the
drift. In the case the diffusion has a limiting velocity we then define the
asymptotic (as $R\uparrow\infty$) flux across subsets of the sphere of radius
$R$ and compute its expectation, again in terms of $v$.

10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol