Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Katok's Entorpy Formula of Unstable Metric Entropy for Partially
  Hyperbolic Diffeomorphisms   Katok's entropy formula is an important formula in entropy theory. This paper
is devoted to establishing Katok's entropy formula of unstable metric entropy
which is the entropy caused by the unstable part of partially hyperbolic
systems.

33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th