Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Breaking the duality in the return times theorem   We prove Bourgain's Return Times Theorem for a range of exponents $p$ and $q$
that are outside the duality range. An oscillation result is used to prove
hitherto unknown almost everywhere convergence for the signed average analog of
Bourgain's averages. As an immediate corollary we obtain a Wiener-Wintner type
of result for the ergodic Hilbert series.

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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: ao-sci
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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: nucl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
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The categories of this paper are: astro-ph
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The categories of this paper are: eess
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The categories of this paper are: adap-org
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The categories of this paper are: physics
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The categories of this paper are: funct-an