Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Self-averaging of kinetic models for waves in random media   Kinetic equations are often appropriate to model the energy density of high
frequency waves propagating in highly heterogeneous media. The limitations of
the kinetic model are quantified by the statistical instability of the wave
energy density, i.e., by its sensitivity to changes in the realization of the
underlying heterogeneous medium modeled as a random medium. In the simplified
It\^o-Schr\"odinger regime of wave propagation, we obtain optimal estimates for
the statistical instability of the wave energy density for different
configurations of the source terms and the domains over which the energy
density is measured. We show that the energy density is asymptotically
statistically stable (self-averaging) in many configurations. In the case of
highly localized source terms, we obtain an explicit asymptotic expression for
the scintillation function in the high frequency limit.

12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
3
The categories of this paper are: physics