Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Constructing center-stable tori   We show that any weakly partially hyperbolic diffeomorphism on the 2-torus
may be realized as the dynamics on a center-stable or center-unstable torus of
a 3-dimensional strongly partially hyperbolic system. We also construct
examples of center-stable and center-unstable tori in higher dimensions.

3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
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The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
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The categories of this paper are: stat
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: q-alg
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The categories of this paper are: hep-lat