Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Hole Probability for Gaussian Entire Functions   We study the hole probability of Gaussian random entire functions. More
specifically, we work with entire functions in Taylor series form with i.i.d
complex Gaussian coefficients. A hole is the event where the function has no
zeros in a disc of radius r. We find exact asymptotics for the rate of decay of
the hole probability for large values of r, outside a small exceptional set
(which is deterministic).

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The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg
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The categories of this paper are: physics
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The categories of this paper are: patt-sol
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The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: math-ph
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The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: chem-ph
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The categories of this paper are: nlin
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The categories of this paper are: supr-con