Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A criterion for invariant measures of It\^{o} processes based on the
  symbol   An integral criterion for the existence of an invariant measure of an It\^{o}
process is developed. This new criterion is based on the probabilistic symbol
of the It\^{o} process. In contrast to the standard integral criterion for
invariant measures of Markov processes based on the generator, no test
functions and hence no information on the domain of the generator is needed.

14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg