Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The exact asymptotic for the stationary distribution of some unreliable
  systems   In this paper we find asymptotic distribution for some unreliable networks.
Using Markov Additive Structure and Adan, Foley, McDonald method, we find the
exact asymptotic for the stationary distribution. With the help of MA structure
and matrix geometric approach, we also investigate the asymptotic when
breakdown intensity is small. In particular, two different asymptotic regimes
for small breakdown intensity suggest two different patterns of large
deviations, which is confirmed by simulation study.

13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th