Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ergodicity via continuity   We show that the ergodicity of an aperiodic automorphism of a Lebesgue space
is equivalent to the continuity of a certain map on a metric Boolean algebra. A
related characterization is also presented for periodic and totally ergodic
transformations

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The categories of this paper are: patt-sol
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
3
The categories of this paper are: physics
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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: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: nlin
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The categories of this paper are: nucl-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an