Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On bifurcation of statistical properties of partially hyperbolic
  endomorphisms   We give an example of a path-wise connected open set of $C^\infty$ partially
hyperbolic endomorphisms on the $2$-torus, on which the SRB measure exists for
each system and varies smoothly depending on the system, while the sign of its
central Lyapunov exponent does change.

4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int