Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence and construction of quasi-stationary distributions for
  one-dimensional diffusions   In this paper, we study quasi-stationary distributions (QSDs) for
one-dimensional diffusions killed at 0, when 0 is a regular boundary and
$+\infty$ is a natural boundary. More precisely, we not only give a necessary
and sufficient condition for the existence of a QSD, but we also construct all
QSDs for one-dimensional diffusions. Moreover, we give a sufficient condition
for $R$-positivity of the process killed at the origin. This condition is only
based on the drift, which is easy to check.

21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio