Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extinction of decomposable branching processes   The asymptotic behavior, as $n\rightarrow \infty $ of the conditional
distribution of the number of particles in a decomposable critical branching
process $\mathbf{Z}% (m)=(Z_{1}(m),...,Z_{N}(m)),$ with $N$ types of particles
at moment $m=n-k,\, k=o(n),$ is investigated given that the extinction moment
of the process is $n$.

13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio