Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multitype branching processes evolving in i.i.d. random environment:
  probability of survival for the critical case   Using the annealed approach we investigate the asymptotic behavior of the
survival probability of a critical multitype branching process evolving in
i.i.d. random environment. We show under rather general assumptions on the form
of the offspring generating functions of particles that the probability of
survival up to generation $n$ of the process initiated at moment zero by a
single particle of type $i$ is equivalent to $c_{i}n^{-1/2}$ for large $n,$
where $c_{i}$ is a positive constant. Earlier such asymptotic representation
was known only for the case of the fractional linear offspring generating
functions.

34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio