Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Super-diffusivity in a shear flow model from perpetual homogenization   This paper is concerned with the asymptotic behavior solutions of stochastic
differential equations $dy_t=d\omega_t -\nabla \Gamma(y_t) dt$, $y_0=0$ and
$d=2$. $\Gamma$ is a $2\times 2$ skew-symmetric matrix associated to a shear
flow characterized by an infinite number of spatial scales
$\Gamma_{12}=-\Gamma_{21}=h(x_1)$, with $h(x_1)=\sum_{n=0}^\infty \gamma_n
h^n(x_1/R_n)$ where $h^n$ are smooth functions of period 1, $h^n(0)=0$,
$\gamma_n$ and $R_n$ grow exponentially fast with $n$. We can show that $y_t$
has an anomalous fast behavior ($\E[|y_t|^2]\sim t^{1+\nu}$ with $\nu>0$) and
obtain quantitative estimates on the anomaly using and developing the tools of
homogenization.

4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc