Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the unique ergodicity for a class of 2 dimensional stochastic wave
  equations   We study the global-in-time dynamics for a stochastic semilinear wave
equation with cubic defocusing nonlinearity and additive noise, posed on the
$2$-dimensional torus. The noise is taken to be slightly more regular than
space-time white noise. In this setting, we show existence and uniqueness of an
invariant measure for the Markov semigroup generated by the flow over an
appropriately chosen Banach space. This extends a result of the second author
to a situation where the invariant measure is not explicitly known.

7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex