Tools to detect non-Gaussianity in nonstandard cosmological models

Julio E. Gallegos; Enrique Martinez-Gonzalez; Francisco Argueso; Laura Cayon; Jose Luis Sanz

doi:10.1117/12.461124

19 December 2002 Tools to detect non-Gaussianity in non-standard cosmological models

Julio E. Gallegos; Enrique Martinez-Gonzalez; Francisco Argueso; Laura Cayon; Jose Luis Sanz

Author Affiliations +

Proceedings Volume 4847, Astronomical Data Analysis II; (2002) https://doi.org/10.1117/12.461124
Event: Astronomical Telescopes and Instrumentation, 2002, Waikoloa, Hawai'i, United States

Abstract

We present a method to detect non-Gaussianity in CMB temperature fluctuations maps, based on the spherical Mexican Hat wavelet. We have applied this method to artificially generated non-Gaussian maps using the Edgeworth expansion. Analysing the skewness and kurtosis of the wavelet coefficients in contrast to Gaussian simulations, the Mexican Hat is more efficient in detecting non-Gaussianity than the spherical Haar wavelet for all different leves of non-Gaussianity introduced. These results are relevant to test the Gaussian character of the CMB data. The method has also been applied to non-Gaussian maps generated by introducing an additional quadratic term in the gravitational potential.

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Julio E. Gallegos, Julio E. Gallegos, Enrique Martinez-Gonzalez, Enrique Martinez-Gonzalez, Francisco Argueso, Francisco Argueso, Laura Cayon, Laura Cayon, Jose Luis Sanz, Jose Luis Sanz, } "Tools to detect non-Gaussianity in non-standard cosmological models", Proc. SPIE 4847, Astronomical Data Analysis II, (19 December 2002); doi: 10.1117/12.461124; https://doi.org/10.1117/12.461124

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