Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: White-Noise and Geometrical Optics Limits of Wigner-Moyal Equation for
  Wave Beams in Turbulent Media   Starting with the Wigner distribution formulation for beam wave propagation
in H\"{o}lder continuous non-Gaussian random refractive index fields we show
that the wave beam regime naturally leads to the white-noise scaling limit and
converges to a Gaussian white-noise model which is characterized by the
martingale problem associated to a stochastic differential-integral equation of
the It\^o type. In the simultaneous geometrical optics the convergence to the
Gaussian white-noise model for the Liouville equation is also established if
the ultraviolet cutoff or the Fresnel number vanishes sufficiently slowly. The
advantage of the Gaussian white-noise model is that its $n$-point correlation
functions are governed by closed form equations.

23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys