Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the number of ergodic physical/SRB measures of singular-hyperbolic
  attracting sets   It is known that sectional-hyperbolic attracting sets, for a $C^2$ flow on a
finite dimensional compact manifold, have at most finitely many ergodic
physical invariant probability measures. We prove an upper bound for the number
of distinct ergodic physical measures supported on a connected
singular-hyperbolic attracting set for a $3$-flow. This bound depends only on
the number of Lorenz-like equilibria contained in the attracting set. Examples
of singular-hyperbolic attracting sets are provided showing that the bound is
sharp.

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The categories of this paper are: hep-ph
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The categories of this paper are: eess
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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: physics
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The categories of this paper are: hep-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
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The categories of this paper are: math-ph