Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Note on the Outliers Theorem   An outlier is a datapoint set apart from a sample population. The outliers
theorem in algorithmic information theory states given a computable sampling
method, outliers have to appear in samples. In this paper we present a plain
complexity variant to the outliers theorem. This variant achieves better error
bounds than the original prefix-free Kolmogorov complexity version. We extend
the outlier theorem to dynamical systems. Dynamical systems are guaranteed to
hit ever larger outlier states with diminishing measure.

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The categories of this paper are: chem-ph
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The categories of this paper are: econ
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The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
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The categories of this paper are: eess
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The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
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The categories of this paper are: bayes-an
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The categories of this paper are: physics
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: nlin
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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The categories of this paper are: math-ph
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The categories of this paper are: plasm-ph