Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On m-minimal partially hyperbolic diffeomorphisms   We discuss about the denseness of the strong stable and unstable manifolds of
partially hyperbolic diffeomorphisms. In this sense, we introduce a concept of
m-minimality. More precisely, we say that a partially hyperbolic
diffeomorphisms is m-minimal if m-almost every point in M has its strong stable
and unstable manifolds dense in M. We show that this property has dynamics
consequences: topological and ergodic. Also, we prove the abundance of
m-minimal partially hyperbolic diffeomorphisms in the volume preserving and
symplectic scenario.

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The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat