Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Self-averaging in time reversal for the parabolic wave equation   We analyze the self-averaging properties of time-reversed solutions of the
paraxial wave equation with random coefficients, which we take to be Markovian
in the direction of propagation. This allows us to construct an approximate
martingale for the phase space Wigner transform of two wave fields. Using a
priori $L^2$-bounds available in the time-reversal setting, we prove that the
Wigner transform in the high frequency limit converges in probability to its
deterministic limit, which is the solution of a transport equation.

19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph