Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Measurable Sensitivity   We introduce the notion of measurable sensitivity, a measure-theoretic
version of the condition of sensitive dependence on initial conditions. It is a
consequence of light mixing, implies a transformation has only finitely many
eigenvalues, and does not exist in the infinite measure-preserving case. Unlike
the traditional notion of sensitive dependence, measurable sensitivity carries
up to measure-theoretic isomorphism, thus ignoring the behavior of the function
on null sets and eliminating dependence on the choice of metric.

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The categories of this paper are: nlin
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The categories of this paper are: nucl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
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The categories of this paper are: supr-con