Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic behavior of critical primitive multi-type branching processes
  with immigration   Under natural assumptions a Feller type diffusion approximation is derived
for critical multi-type branching processes with immigration when the offspring
mean matrix is primitive (in other words, positively regular). Namely, it is
proved that a sequence of appropriately scaled random step functions formed
from a sequence of critical primitive multi-type branching processes with
immigration converges weakly towards a squared Bessel process supported by a
ray determined by the Perron vector of the offspring mean matrix.

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The categories of this paper are: econ
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The categories of this paper are: stat
6
The categories of this paper are: astro-ph
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The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: quant-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: q-bio
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn