Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability of transition semigroups and applications to parabolic
  equations   The paper deals with the long-term behavior of positive operator semigroups
on spaces of bounded functions and of signed measures, which have applications
to parabolic equations with unbounded coefficients and to stochastic analysis.
  The main results are a Tauberian type theorem characterizing the convergence
to equilibrium of strongly Feller semigroups and a generalization of a
classical convergence theorem of Doob. None of these results requires any kind
of time regularity of the semigroup.

33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph