Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A view on multiple recurrence   In this note we present a proof of multiple recurrence for ergodic systems
(and thereby of Szemer\'edi's theorem) being a mixture of three known proofs.
It is based on a conditional version of the Jacobs-de Leeuw-Glicksberg
decomposition and properties of the Gowers-Host-Kra uniformity seminorms.

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The categories of this paper are: hep-ex
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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: astro-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: q-bio
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The categories of this paper are: cs
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The categories of this paper are: solv-int
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The categories of this paper are: hep-th
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The categories of this paper are: chem-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys