Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An averaging principle for a completely integrable stochastic
  Hamiltonian system   We investigate the effective behaviour of a small transversal perturbation of
order $\epsilon$ to a completely integrable stochastic Hamiltonian system, by
which we mean a stochastic differential equation whose diffusion vector fields
are formed from a completely integrable family of Hamiltonian functions $H_i,
i=1,\dots n$. An averaging principle is shown to hold and the action component
of the solution converges, as $\epsilon \to 0$, to the solution of a
deterministic system of differential equations when the time is rescaled at
$1/\epsilon$. An estimate for the rate of the convergence is given. In the case
when the perturbation is a Hamiltonian vector field, the limiting deterministic
system is constant in which case we show that the action component of the
solution scaled at $1/\epsilon^2$ converges to that of a limiting stochastic
differentiable equation.

24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs