Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A robustly transitive diffeomorphism of Kan's type   We construct a family of partially hyperbolic skew-product diffeomorphisms on
$\mathbb{T}^3$ that are robustly transitive and admitting two physical measures
with intermingled basins. In particularly, all these diffeomorphisms are not
topologically mixing. Moreover, for every such example, it exhibits a dichotomy
under perturbation: every perturbation of such example either has a unique
physical measure and is robustly topologically mixing, or has two physical
measures with intermingled basins.

18
The categories of this paper are: econ
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int