Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Generalized Occupation Time Formula For Continuous Semimartingales   We show that for a wide class of functions $F$ that: $$ {\lim_{\epsilon
\downarrow 0} {\frac{1}{\epsilon}} \int_0^t \Big\{F(s, X_s) - F(s, X_s -
\epsilon)\Big\} d\big<X,X\big>_s} = - \int_0^t\int_{\R} F(s, x) d L_s^x $$
where $X_t$ is a continuous semi-martingale, $(L_t^x, x \in \R, t \geq 0)$ its
local time process and $(\big<X,X\big>_t, t \geq 0)$ its quadratic variation
process.

9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat