Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Large deviations for occupation times of Markov processes with
  $L_{\mathbf{2}}$ semigroups   Our aim is to unify and extend the large deviation upper and lower bounds for
the occupation times of a Markov process with $L_2$ semigroups under minimal
conditions on the state space and the process trajectories; for example, no
strong Markov property is needed. The methods used here apply in both
continuous and discrete time. We present the proofs for continuous time only
because of the inherent technical difficulties in that situation; the proofs
can be adapted for discrete time in a straightforward manner.

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The categories of this paper are: atom-ph
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The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
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The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph