Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rational weak mixing in infinite measure spaces   Rational weak mixing is a measure theoretic version of Krickeberg's strong
ratio mixing property for infinite measure preserving transformations. It
requires "{\tt density}" ratio convergence for every pair of measurable sets in
a dense hereditary ring. Rational weak mixing implies weak rational ergodicity
and (spectral) weak mixing. It is enjoyed for example by Markov shifts with
Orey's strong ratio limit property. The power, subsequence version of the
property is generic.

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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
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The categories of this paper are: eess
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The categories of this paper are: cmp-lg
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The categories of this paper are: bayes-an
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The categories of this paper are: nlin
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The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
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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: patt-sol
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The categories of this paper are: nucl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex