Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the metastability of a loss network with diminishing rates   A trajectorial large deviation principle is established in a mean field
thermodynamic limit for a multiclass loss network with diminishing rates, which
may have several stable equilibria. The large deviation limit is identified as
a unique solution to a maxingale problem.
  The invariant measure of the network process obeys a large deviation
principle as well. The network is metastable in that it spends exponentially
long periods of time in the neighbourhoods of stable equilibria. A specific
case of a two--class network with two stable equilibria and one unstable
equilibrium is examined.

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The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con