Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Jackson network in a random environment: strong approximation   We consider a Jackson network with regenerative input flows in which every
server is subject to a random environment influence generating breakdowns and
repairs. They occur in accordance with two independent sequences of i.i.d.
random variables. We establish a theorem on the strong approximation of the
vector of queue lengths by a reflected Brownian motion in positive orthant.

25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph