Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the ergodic theory of certain non-discrete actions and topological
  orbit equivalences   Quasi-invariant measures for non-discrete groups of diffeomorphisms
containing a Morse-Smale dynamics are studied. The assumption concerning the
presence of a Morse-Smale dynamics allows us to extend to higher dimensions a
number of recently established results for non-discrete groups acting on the
circle. These results are also applied to show that, for many groups as above,
every continuous orbit equivalence must coincide almost everywhere with a
diffeomorphism of the corresponding manifold.

11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics