Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-stationary non-uniform hyperbolicity: SRB measures for dissipative
  maps   We prove the existence of SRB measures for diffeomorphisms where a positive
volume set of initial conditions satisfy an "effective hyperbolicity" condition
that guarantees certain recurrence conditions on the iterates of Lebesgue
measure. We give examples of systems that do not admit a dominated splitting
but can be shown to have SRB measures using our methods.

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The categories of this paper are: mtrl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: q-bio
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
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: supr-con
4
The categories of this paper are: cond-mat
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The categories of this paper are: econ
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The categories of this paper are: cs
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The categories of this paper are: hep-th
3
The categories of this paper are: physics