Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On homogenization of a diffusion perturbed by a periodic reflection
  invariant vector field   In this paper the author studies the problem of the homogenization of a
diffusion perturbed by a periodic reflection invariant vector field. The vector
field is assumed to have fixed direction but varying amplitude. The existence
of a homogenized limit is proven and formulas for the effective diffusion
constant are given. In dimension $d=1$ the effective diffusion constant is
always less than the constant for the pure diffusion. In $d>1$ this property no
longer holds in general.

23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc