Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lebesgue measure of escaping sets of entire functions of completely
  regular growth   We give conditions ensuring that the Julia set and the escaping set of an
entire function of completely regular growth have positive Lebesgue measure.
The essential hypotheses are that the indicator is positive except perhaps at
isolated points and that most zeros are located in neighborhoods of finitely
many rays. We apply the result to solutions of linear differential equations.

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The categories of this paper are: chem-ph
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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: nucl-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
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The categories of this paper are: eess
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The categories of this paper are: astro-ph
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The categories of this paper are: nlin
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The categories of this paper are: supr-con
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The categories of this paper are: cs
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The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg
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The categories of this paper are: bayes-an