Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bergelson's Theorem for weakly mixing C*-dynamical systems   We study a nonconventional ergodic average for asymptotically abelian weakly
mixing C*-dynamical systems, related to a second iteration of Khintchine's
recurrence theorem obtained by Bergelson in the measure theoretic case. A
noncommutative recurrence theorem for such systems is obtained as a corollary.

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The categories of this paper are: gr-qc
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The categories of this paper are: funct-an
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-lat
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The categories of this paper are: physics
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The categories of this paper are: q-alg
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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: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: quant-ph
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The categories of this paper are: stat
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ph