Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integrability versus frequency of hyperbolic times and the existence of
  a.c.i.m   We consider dynamical systems on compact manifolds, which are local
diffeomorphisms outside an exceptional set (a compact submanifold). We are
interested in analyzing the relation between the integrability (with respect to
Lebesgue measure) of the first hyperbolic time map and the existence of
positive frequency of hyperbolic times. We show that some (strong)
integrability of the first hyperbolic time map implies positive frequency of
hyperbolic times. We also present an example of a map with positive frequency
of hyperbolic times at Lebesgue almost every point but whose first hyperbolic
time map is not integrable with respect to the Lebesgue measure.

17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat