Inter-Scale Correlations as Measures of CMB Gaussianity

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dc.creatorWinitzki, S.
dc.creatorWu, J. H. P.
dc.date2000-07-14
dc.date.accessioned2026-07-07T01:54:25Z
dc.date.available2026-07-07T01:54:25Z
dc.descriptionA description of CMB temperature fluctuations beyond the power spectrum is important for verifying models of structure formation, especially in view of forthcoming high-resolution observations. We argue that higher-order statistics of inter-scale correlations, because of their low cosmic variance, may be effective in detecting non-Gaussian features in the CMB. Inter-scale correlations are generically produced in defect-based models of structure formation. We analytically study properties of general higher-order cumulants of Fourier components of homogeneous random fields and design a new set of statistics suitable for small-scale data analysis. Using simulated non-Gaussian fields, we investigate the performance of the proposed statistics in presence of a Gaussian background and pixel noise, using the bispectrum as the underlying cumulant. Our numerical results suggest that detection of non-Gaussian features by our method is reliable if the power spectrum of the non-Gaussian components dominates that of the Gaussian background and noise within at least a certain range of accessible scales.
dc.description42 pages, 12 figures
dc.identifierhttps://arxiv.org/abs/astro-ph/0007213
dc.identifierhttp://arxiv.org/abs/astro-ph/0007213
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/1337
dc.subjectAstrophysics
dc.titleInter-Scale Correlations as Measures of CMB Gaussianity
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