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Author Marinucci, Domenico ♦ Peccati, Giovanni
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2009-11-12
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Natural sciences & mathematics ♦ Mathematics ♦ Probabilities & applied mathematics ♦ Astronomy & allied sciences ♦ Physics
Subject Keyword Mathematics - Probability ♦ Astrophysics - Cosmology and Nongalactic Astrophysics ♦ Mathematics - Statistics Theory ♦ 60G60 ♦ 60G15 ♦ 42C10 ♦ 62M15 ♦ 60K40 ♦ math ♦ physics:astro-ph ♦ stat
Abstract We investigate the relationship between ergodicity and asymptotic Gaussianity of isotropic spherical random fields, in the high-resolution (or high-frequency) limit. In particular, our results suggest that under a wide variety of circumstances the two conditions are equivalent, i.e. the sample angular power spectrum may converge to the population value if and only if the underlying field is asymptotically Gaussian, in the high frequency sense. These findings may shed some light on the role of Cosmic Variance in Cosmic Microwave Background (CMB) radiation data analysis.
Description Reference: Journal of Mathematical Physics, n.4, 043301, (2010)
Educational Use Research
Learning Resource Type Article
Page Count 25


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