Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Anosov diffeomorphisms, anisotropic BV spaces and regularity of
  foliations   Given any smooth Anosov map we construct a Banach space on which the
associated transfer operator is quasi-compact. The peculiarity of such a space
is that in the case of expanding maps it reduces exactly to the usual space of
functions of bounded variation which has proven particularly successful in
studying the statistical properties of piecewise expanding maps. Our approach
is based on a new method of studying the absolute continuity of foliations
which provides new information that could prove useful in treating hyperbolic
systems with singularities.

30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph