Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Comparative Analysis of the Observational Properties of Fast Radio
  Bursts at the Frequencies of 111 and 1400 MHz   A comparative analysis of the observational characteristics of fast radio
bursts at the frequencies 111 and 1400 MHz is carried out. The distributions of
radio bursts by the dispersion measure are constructed. At both frequencies,
they are described by a lognormal distribution with the parameters $\mu =6.2$
$\sigma = 0.7$. The dependence $\tau_{sc}(DM)$ of the scattering value on the
dispersion measure at 111 MHz and 1400 MHz is also constructed. This dependence
is fundamentally different from the dependence for pulsars. A comparative
analysis of the relationship between the scattering of pulses and the
dispersion measure at 1400 MHz and 111 MHz showed that for both frequencies it
has the form $\tau_{sc}(DM)\sim DM^k$, where $k = 0.49 \pm 0.18$ and $k = 0.43
\pm 0.15$ for the frequencies 111 and 1400 MHz, respectively. The obtained
dependence is explained within the framework of the assumption of the
extragalactic occurrence of fast radio bursts and an almost uniform
distribution of matter in intergalactic space. From the dependence
$\tau_{sc}(DM)$ a total estimate of the contribution to the matter of the halo
of our and the host galaxy to $DM$ is obtained $DM_{halo} +
\frac{DM_{host}}{1+z}\approx 60\;{\rm pc/cm}^3$. Based on the LogN - LogS
dependence, the average spectral index of radio bursts is derived $\alpha = -
0.63 \pm 0.20$ provided that the statistical properties of these samples at 111
and 1400 MHz are the same.

4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
2
The categories of this paper are: math
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga