Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ergodicity for a stochastic geodesic equation in the tangent bundle of
  the 2D sphere   We study ergodic properties of stochastic geometric wave equations on a
particular model with the target being the 2D sphere while considering the
space variable-independent solutions only. This simplification leads to a
degenerate stochastic equation in the tangent bundle of the 2D sphere. Studying
this equation, we prove existence and non-uniqueness of invariant probability
measures for the original problem and we obtain also results on attractivity
towards an invariant measure. We also present a suitable numerical scheme for
approximating the solutions subject to a sphere constraint.

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The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc