Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamics of geodesic flows with random forcing on Lie groups with
  left-invariant metrics   We consider stochastic perturbations of geodesic flow for left-invariant
metrics on finite-dimensional Lie groups and study the H\"ormander condition
and some properties of the solutions of the corresponding Fokker-Planck
equations.

22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin