Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stochastic differential equations in a scale of Hilbert spaces   A stochastic differential equation with coefficients defined in a scale of
Hilbert spaces is considered. The existence and uniqueness of finite time
solutions is proved by an extension of the Ovsyannikov method. This result is
applied to a system of equations describing non-equilibrium stochastic dynamics
of (real-valued) spins of an infinite particle system on a typical realization
of a Poisson or Gibbs point process in a Euclidean space.

16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat