Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Large deviations for the empirical measure of heavy tailed Markov
  renewal processes   A large deviations principle is established for the joint law of the
empirical measure and the flow measure of a renewal Markov process on a finite
graph. We do not assume any bound on the arrival times, allowing heavy tailed
distributions. In particular, the rate functional is in general degenerate (it
has a nontrivial set of zeros) and not strictly convex. These features show a
behavior highly different from what one may guess with a heuristic
Donsker-Varadhan analysis of the problem.

13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int