Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Central Limit Theorem for Periodic Orbits of Hyperbolic Flows   We consider a counting problem in the setting of hyperbolic dynamics. Let
$\phi_t : \Lambda \to \Lambda$ be a weak mixing hyperbolic flow. We count the
proportion of prime periodic orbits of $\phi_t$, with length less than $T$,
that satisfy an averaging condition related to a H\"older continuous function
$f: \Lambda \to \mathbb{R}$. We show, assuming an approximability condition on
$\phi$, that as $T \to \infty$, we obtain a central limit theorem.

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The categories of this paper are: plasm-ph
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The categories of this paper are: nlin
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The categories of this paper are: patt-sol
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The categories of this paper are: q-bio
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The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-th
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The categories of this paper are: funct-an
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The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat