Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exponential decay of correlations for piecewise cone hyperbolic contact
  flows   We prove exponential decay of correlations for a realistic model of piecewise
hyperbolic flows preserving a contact form, in dimension three. This is the
first time exponential decay of correlations is proved for continuous-time
dynamics with singularities on a manifold. Our proof combines the second
author's version of Dolgopyat's estimates for contact flows and the first
author's work with Gou\"ezel on piecewise hyperbolic discrete-time dynamics.
  (Presentation revised.)

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The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: stat
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-th
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an