Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multiple recurrence for non-commuting transformations along rationally
  independent polynomials   We prove a multiple recurrence result for arbitrary measure-preserving
transformations along polynomials in two variables of the form $m+p_i(n)$, with
rationally independent $p_i$'s with zero constant term. This is in contrast to
the single variable case, in which even double recurrence fails unless the
transformations generate a virtually nilpotent group. The proof involves
reduction to nilfactors and an equidistribution result on nilmanifolds.

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The categories of this paper are: chem-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-th
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ex
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The categories of this paper are: nlin
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The categories of this paper are: comp-gas
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The categories of this paper are: physics
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The categories of this paper are: quant-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: alg-geom
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The categories of this paper are: plasm-ph
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The categories of this paper are: econ