Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Return times theorem for amenable groups   We extend Bourgain's return times theorem to arbitrary locally compact second
countable amenable groups. The proof is based on a version of the
Bourgain--Furstenberg--Katznelson--Ornstein orthogonality criterion.

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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-bio
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The categories of this paper are: atom-ph
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The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ph
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The categories of this paper are: math-ph
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The categories of this paper are: cs
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The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
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The categories of this paper are: physics
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The categories of this paper are: stat
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The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-th