Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ornstein-Uhlenbeck approximation of one-step processes: a differential
  equation approach   The steady state of the Fokker-Planck equation corresponding to a density
dependent one-step process is approximated by a suitable normal distribution.
Starting from the master equations of the process, written in terms of the time
dependent probabilities, $p_k(t)$ of the states $k=0,1,\ldots , N$, their
continuous (in space) version, the Fokker-Planck equation is formulated. This
PDE approximation enables us to create analytic approximation formulas for the
steady state distribution. These formulas are derived based on heuristic
reasoning and then their accuracy is proved to be of order $1/N^{\beta}$ with
some power $\beta <1$.

5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th