Correlation of Excursion Sets for Non-Gaussian CMB Temperature Distributions

Details Correlation of Excursion Sets for Non-Gaussian CMB Temperature Distributions Correlation of Excursion Sets for Non-Gaussian CMB Temperature Distributions

1997-12-10

arxiv.org/abs/astro-ph/9712143v1

Astronomy and Astrophysics

Astrophysics

7 pages latex file using mn.sty + 4 postscript figures, to appear in MNRAS

Scientific paper

10.1046/j.1365-8711.1998.01399.x

We present a method, based on the correlation function of excursion sets above a given threshold, to test the Gaussianity of the CMB temperature fluctuations in the sky. In particular, this method can be applied to discriminate between standard inflationary scenarios and those producing non-Gaussianity such as topological defects. We have obtained the normalized correlation of excursion sets, including different levels of noise, for 2-point probability density functions constructed from the Gaussian, \chi_n^2 and Laplace 1-point probability density functions in two different ways. Considering subdegree angular scales, we find that this method can distinguish between different distributions even if the corresponding marginal probability density functions and/or the radiation power spectra are the same.

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