Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analytic Minkowski Functionals of the Cosmic Microwave Background:
  Second-order Non-Gaussianity with Bispectrum and Trispectrum   Analytic formulas of Minkowski functionals in two-dimensional random fields
are derived, including effects of second-order non-Gaussianity in the presence
of both the bispectrum and trispectrum. The set of formulas provides a
promising method to constrain the primordial non-Gaussianity of the universe by
temperature fluctuations in the cosmic microwave background radiation. In a
case of local-type non-Gaussianity, the Minkowski functionals are analytically
given by powers of quadratic and cubic parameters, $f_{\rm NL}$ and $g_{\rm
NL}$. Our formulas are not restricted to this particular model, and applicable
to a wide class of non-Gaussian models. The analytic formulas are compared to
numerical evaluations from non-Gaussian realizations of temperature maps,
showing very good agreements.

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The categories of this paper are: gr-qc
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The categories of this paper are: q-bio
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The categories of this paper are: adap-org
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The categories of this paper are: math
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The categories of this paper are: math-ph
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The categories of this paper are: atom-ph
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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: eess
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The categories of this paper are: ao-sci
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The categories of this paper are: plasm-ph
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The categories of this paper are: nlin
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: comp-gas