Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multitype branching processes with immigration in random environment and
  polling systems   For multitype branching processes with immigration evolving in a random
environment and producing a final product we find the tail distribution of the
size of the final product accumulated in the system for a life period. Using
this result we investigate the tail distribution of the busy periods of the
branching type polling systems with random service disciplines and random
positive switch-over times

22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga