Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Minkowski Functional Description of Microwave Background Gaussianity   A Gaussian distribution of cosmic microwave background temperature
fluctuations is a generic prediction of inflation. Upcoming high-resolution
maps of the microwave background will allow detailed tests of Gaussianity down
to small angular scales, providing a crucial test of inflation. We propose
Minkowski functionals as a calculational tool for testing Gaussianity and
characterizing deviations from it. We review the mathematical formalism of
Minkowski functionals of random fields; for Gaussian fields the functionals can
be calculated exactly. We then apply the results to pixelized maps, giving
explicit expressions for calculating the functionals from maps as well as the
Gaussian predictions, including corrections for map boundaries, pixel noise,
and pixel size and shape. Variances of the functionals for Gaussian
distributions are derived in terms of the map correlation function.
Applications to microwave background maps are discussed.

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The categories of this paper are: hep-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex
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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: nucl-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: math
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The categories of this paper are: chao-dyn