Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Average optimality for continuous-time Markov decision processes under
  weak continuity conditions   This article considers the average optimality for a continuous-time Markov
decision process with Borel state and action spaces and an arbitrarily
unbounded nonnegative cost rate. The existence of a deterministic stationary
optimal policy is proved under a different and general set of conditions as
compared to the previous literature; the controlled process can be explosive,
the transition rates can be arbitrarily unbounded and are weakly continuous,
the multifunction defining the admissible action spaces can be neither
compact-valued nor upper semi-continuous, and the cost rate is not necessarily
inf-compact.

35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin