Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Evolution systems of measures for stochastic flows   A new concept of {\em an evolution system of measures for stochastic flows}
is considered. It corresponds to the notion of an invariant measure for random
dynamical systems (or cocycles). The existence of evolution systems of measures
for asymptotically compact stochastic flows is obtained. For a white noise
stochastic flow, there exists a one to one correspondence between evolution
systems of measures for a stochastic flow \emph{and} evolution systems of
measures for the associated Markov transition semigroup. As an application, an
alternative approach for evolution systems of measures of 2D stochastic
Navier-Stokes equations with a time-periodic forcing term is presented.

12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th