Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Maximal entropy measures of diffeomorphisms of circle fiber bundles   We characterize the maximal entropy measures of partially hyperbolic C^2
diffeomorphisms whose center foliations form circle bundles, by means of
suitable finite sets of saddle points, that we call skeletons.
  In the special case of 3-dimensional nilmanifolds other than the torus, this
entails the following dichotomy: either the diffeomorphism is a rotation
extension of an Anosov diffeomorphism -- in which case there is a unique
maximal measure, with full support and zero center Lyapunov exponents -- or
there exist exactly two ergodic maximal measures, both hyperbolic and whose
center Lyapunov exponents have opposite signs. Moreover, the set of maximal
measures varies continuously with the diffeomorphism.

5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat