Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Partial hyperbolicity and classification: a survey   This paper surveys recent results on classifying partially hyperbolic
diffeomorphisms. This includes the construction of branching foliations and
leaf conjugacies on three-dimensional manifolds with solvable fundamental
group. Classification results in higher-dimensional settings are also
discussed. The paper concludes with an overview of the construction of new
partially hyperbolic examples derived from Anosov flows.

17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
1
The categories of this paper are: cs