Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Measure-theoretical properties of center foliations   Center foliations of partially hyperbolic diffeomorphisms may exhibit
pathological behavior from a measure-theoretical viewpoint: quite often, the
disintegration of the ambient volume measure along the center leaves consists
of atomic measures. We add to this theory by constructing stable examples for
which the disintegration is singular without being atomic. In the context of
diffeomorphisms with mostly contracting center direction, for which upper
leafwise absolute continuity is known to hold, we provide examples where the
center foliation is not lower leafwise absolutely continuous.

32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph